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Finding the Fourth Proportional to 9,915.86, 13,684.26 and 5,439.80

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Solution

The fourth proportional to 9,915.86, 13,684.26 and 5,439.80 is: 7,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.86 : 13,684.26 = 5,439.80 : x
  2. Step 2: Convert to fraction form
    9,915.86/13,684.26 = 5,439.80/x
  3. Step 3: Cross multiply
    9,915.86x = 13,684.26 × 5,439.80
  4. Step 4: Simplify right side
    9,915.86x = 74,439,569.13
  5. Step 5: Solve for x
    x = 74,439,569.13/9,915.86
  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.