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Finding the Fourth Proportional to 9,916.16, 14,854.41 and 5,965.24

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Solution

The fourth proportional to 9,916.16, 14,854.41 and 5,965.24 is: 8,935.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.16 : 14,854.41 = 5,965.24 : x
  2. Step 2: Convert to fraction form
    9,916.16/14,854.41 = 5,965.24/x
  3. Step 3: Cross multiply
    9,916.16x = 14,854.41 × 5,965.24
  4. Step 4: Simplify right side
    9,916.16x = 88,610,120.71
  5. Step 5: Solve for x
    x = 88,610,120.71/9,916.16
  6. Step 6: Final answer
    x = 8,935.93

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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.