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Finding the Fourth Proportional to 9,915.14, 13,683.60 and 6,552.11

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Solution

The fourth proportional to 9,915.14, 13,683.60 and 6,552.11 is: 9,042.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.14 : 13,683.60 = 6,552.11 : x
  2. Step 2: Convert to fraction form
    9,915.14/13,683.60 = 6,552.11/x
  3. Step 3: Cross multiply
    9,915.14x = 13,683.60 × 6,552.11
  4. Step 4: Simplify right side
    9,915.14x = 89,656,486.61
  5. Step 5: Solve for x
    x = 89,656,486.61/9,915.14
  6. Step 6: Final answer
    x = 9,042.38

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Why These Related Problems?

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