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Finding the Fourth Proportional to 9,916.51, 14,869.98 and 5,757.57

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Solution

The fourth proportional to 9,916.51, 14,869.98 and 5,757.57 is: 8,633.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.51 : 14,869.98 = 5,757.57 : x
  2. Step 2: Convert to fraction form
    9,916.51/14,869.98 = 5,757.57/x
  3. Step 3: Cross multiply
    9,916.51x = 14,869.98 × 5,757.57
  4. Step 4: Simplify right side
    9,916.51x = 85,614,950.75
  5. Step 5: Solve for x
    x = 85,614,950.75/9,916.51
  6. Step 6: Final answer
    x = 8,633.58

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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.