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Finding the Fourth Proportional to 9,897.57, 13,658.55 and 5,421.31

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Solution

The fourth proportional to 9,897.57, 13,658.55 and 5,421.31 is: 7,481.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.57 : 13,658.55 = 5,421.31 : x
  2. Step 2: Convert to fraction form
    9,897.57/13,658.55 = 5,421.31/x
  3. Step 3: Cross multiply
    9,897.57x = 13,658.55 × 5,421.31
  4. Step 4: Simplify right side
    9,897.57x = 74,047,233.70
  5. Step 5: Solve for x
    x = 74,047,233.70/9,897.57
  6. Step 6: Final answer
    x = 7,481.35

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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.