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Finding the Fourth Proportional to 9,916.90, 13,685.34 and 5,439.94

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Solution

The fourth proportional to 9,916.90, 13,685.34 and 5,439.94 is: 7,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,916.90 : 13,685.34 = 5,439.94 : x
  2. Step 2: Convert to fraction form
    9,916.90/13,685.34 = 5,439.94/x
  3. Step 3: Cross multiply
    9,916.90x = 13,685.34 × 5,439.94
  4. Step 4: Simplify right side
    9,916.90x = 74,447,428.48
  5. Step 5: Solve for x
    x = 74,447,428.48/9,916.90
  6. Step 6: Final answer
    x = 7,507.13

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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.