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Finding the Fourth Proportional to 9,916.98, 13,685.82 and 5,440.92

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Solution

The fourth proportional to 9,916.98, 13,685.82 and 5,440.92 is: 7,508.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.98 : 13,685.82 = 5,440.92 : x
  2. Step 2: Convert to fraction form
    9,916.98/13,685.82 = 5,440.92/x
  3. Step 3: Cross multiply
    9,916.98x = 13,685.82 × 5,440.92
  4. Step 4: Simplify right side
    9,916.98x = 74,463,451.75
  5. Step 5: Solve for x
    x = 74,463,451.75/9,916.98
  6. Step 6: Final answer
    x = 7,508.68

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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.