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Finding the Fourth Proportional to 9,897.38, 13,658.39 and 5,421.15

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Solution

The fourth proportional to 9,897.38, 13,658.39 and 5,421.15 is: 7,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.38 : 13,658.39 = 5,421.15 : x
  2. Step 2: Convert to fraction form
    9,897.38/13,658.39 = 5,421.15/x
  3. Step 3: Cross multiply
    9,897.38x = 13,658.39 × 5,421.15
  4. Step 4: Simplify right side
    9,897.38x = 74,044,112.66
  5. Step 5: Solve for x
    x = 74,044,112.66/9,897.38
  6. Step 6: Final answer
    x = 7,481.18

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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.