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Finding the Fourth Proportional to 9,916.49, 14,870.02 and 5,757.77

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Solution

The fourth proportional to 9,916.49, 14,870.02 and 5,757.77 is: 8,633.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.49 : 14,870.02 = 5,757.77 : x
  2. Step 2: Convert to fraction form
    9,916.49/14,870.02 = 5,757.77/x
  3. Step 3: Cross multiply
    9,916.49x = 14,870.02 × 5,757.77
  4. Step 4: Simplify right side
    9,916.49x = 85,618,155.06
  5. Step 5: Solve for x
    x = 85,618,155.06/9,916.49
  6. Step 6: Final answer
    x = 8,633.92

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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.