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Finding the Fourth Proportional to 9,916.40, 14,869.80 and 5,529.20

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Solution

The fourth proportional to 9,916.40, 14,869.80 and 5,529.20 is: 8,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.40 : 14,869.80 = 5,529.20 : x
  2. Step 2: Convert to fraction form
    9,916.40/14,869.80 = 5,529.20/x
  3. Step 3: Cross multiply
    9,916.40x = 14,869.80 × 5,529.20
  4. Step 4: Simplify right side
    9,916.40x = 82,218,098.16
  5. Step 5: Solve for x
    x = 82,218,098.16/9,916.40
  6. Step 6: Final answer
    x = 8,291.12

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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.