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Finding the Fourth Proportional to 9,897.60, 13,658.70 and 5,421.52

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Solution

The fourth proportional to 9,897.60, 13,658.70 and 5,421.52 is: 7,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.60 : 13,658.70 = 5,421.52 : x
  2. Step 2: Convert to fraction form
    9,897.60/13,658.70 = 5,421.52/x
  3. Step 3: Cross multiply
    9,897.60x = 13,658.70 × 5,421.52
  4. Step 4: Simplify right side
    9,897.60x = 74,050,915.22
  5. Step 5: Solve for x
    x = 74,050,915.22/9,897.60
  6. Step 6: Final answer
    x = 7,481.70

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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.