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Finding the Fourth Proportional to 9,915.38, 13,684.11 and 5,440.01

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Solution

The fourth proportional to 9,915.38, 13,684.11 and 5,440.01 is: 7,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.38 : 13,684.11 = 5,440.01 : x
  2. Step 2: Convert to fraction form
    9,915.38/13,684.11 = 5,440.01/x
  3. Step 3: Cross multiply
    9,915.38x = 13,684.11 × 5,440.01
  4. Step 4: Simplify right side
    9,915.38x = 74,441,599.62
  5. Step 5: Solve for x
    x = 74,441,599.62/9,915.38
  6. Step 6: Final answer
    x = 7,507.69

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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.