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Finding the Fourth Proportional to 9,930,224.70, 13,709,823.88 and 7,873,548.03

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Solution

The fourth proportional to 9,930,224.70, 13,709,823.88 and 7,873,548.03 is: 10,870,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930,224.70 : 13,709,823.88 = 7,873,548.03 : x
  2. Step 2: Convert to fraction form
    9,930,224.70/13,709,823.88 = 7,873,548.03/x
  3. Step 3: Cross multiply
    9,930,224.70x = 13,709,823.88 × 7,873,548.03
  4. Step 4: Simplify right side
    9,930,224.70x = 107,944,956,796,927.77
  5. Step 5: Solve for x
    x = 107,944,956,796,927.77/9,930,224.70
  6. Step 6: Final answer
    x = 10,870,343.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.