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Finding the Fourth Proportional to 9,901.12, 14,835.86 and 7,256.36

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Solution

The fourth proportional to 9,901.12, 14,835.86 and 7,256.36 is: 10,872.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.12 : 14,835.86 = 7,256.36 : x
  2. Step 2: Convert to fraction form
    9,901.12/14,835.86 = 7,256.36/x
  3. Step 3: Cross multiply
    9,901.12x = 14,835.86 × 7,256.36
  4. Step 4: Simplify right side
    9,901.12x = 107,654,341.07
  5. Step 5: Solve for x
    x = 107,654,341.07/9,901.12
  6. Step 6: Final answer
    x = 10,872.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.