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Finding the Fourth Proportional to 9,916.94, 13,686 and 6,553.85

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Solution

The fourth proportional to 9,916.94, 13,686 and 6,553.85 is: 9,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.94 : 13,686 = 6,553.85 : x
  2. Step 2: Convert to fraction form
    9,916.94/13,686 = 6,553.85/x
  3. Step 3: Cross multiply
    9,916.94x = 13,686 × 6,553.85
  4. Step 4: Simplify right side
    9,916.94x = 89,695,991.10
  5. Step 5: Solve for x
    x = 89,695,991.10/9,916.94
  6. Step 6: Final answer
    x = 9,044.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.