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Finding the Fourth Proportional to 9,897.62, 13,658.18 and 5,420.52

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Solution

The fourth proportional to 9,897.62, 13,658.18 and 5,420.52 is: 7,480.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.62 : 13,658.18 = 5,420.52 : x
  2. Step 2: Convert to fraction form
    9,897.62/13,658.18 = 5,420.52/x
  3. Step 3: Cross multiply
    9,897.62x = 13,658.18 × 5,420.52
  4. Step 4: Simplify right side
    9,897.62x = 74,034,485.55
  5. Step 5: Solve for x
    x = 74,034,485.55/9,897.62
  6. Step 6: Final answer
    x = 7,480.03

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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.