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Finding the Fourth Proportional to 9,903.74, 14,857.90 and 2,883.92

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Solution

The fourth proportional to 9,903.74, 14,857.90 and 2,883.92 is: 4,326.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,903.74 : 14,857.90 = 2,883.92 : x
  2. Step 2: Convert to fraction form
    9,903.74/14,857.90 = 2,883.92/x
  3. Step 3: Cross multiply
    9,903.74x = 14,857.90 × 2,883.92
  4. Step 4: Simplify right side
    9,903.74x = 42,848,913.47
  5. Step 5: Solve for x
    x = 42,848,913.47/9,903.74
  6. Step 6: Final answer
    x = 4,326.54

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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.