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Finding the Fourth Proportional to 9,902.28, 14,785.53 and 8,440.68

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Solution

The fourth proportional to 9,902.28, 14,785.53 and 8,440.68 is: 12,603.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.28 : 14,785.53 = 8,440.68 : x
  2. Step 2: Convert to fraction form
    9,902.28/14,785.53 = 8,440.68/x
  3. Step 3: Cross multiply
    9,902.28x = 14,785.53 × 8,440.68
  4. Step 4: Simplify right side
    9,902.28x = 124,799,927.36
  5. Step 5: Solve for x
    x = 124,799,927.36/9,902.28
  6. Step 6: Final answer
    x = 12,603.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.