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Finding the Fourth Proportional to 9,897.12, 14,834.16 and 9,787.68

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Solution

The fourth proportional to 9,897.12, 14,834.16 and 9,787.68 is: 14,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.12 : 14,834.16 = 9,787.68 : x
  2. Step 2: Convert to fraction form
    9,897.12/14,834.16 = 9,787.68/x
  3. Step 3: Cross multiply
    9,897.12x = 14,834.16 × 9,787.68
  4. Step 4: Simplify right side
    9,897.12x = 145,192,011.15
  5. Step 5: Solve for x
    x = 145,192,011.15/9,897.12
  6. Step 6: Final answer
    x = 14,670.13

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