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Finding the Fourth Proportional to 9,916.92, 14,860.50 and 5,747.16

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Solution

The fourth proportional to 9,916.92, 14,860.50 and 5,747.16 is: 8,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.92 : 14,860.50 = 5,747.16 : x
  2. Step 2: Convert to fraction form
    9,916.92/14,860.50 = 5,747.16/x
  3. Step 3: Cross multiply
    9,916.92x = 14,860.50 × 5,747.16
  4. Step 4: Simplify right side
    9,916.92x = 85,405,671.18
  5. Step 5: Solve for x
    x = 85,405,671.18/9,916.92
  6. Step 6: Final answer
    x = 8,612.12

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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.