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Finding the Fourth Proportional to 9,209.52, 13,796.04 and 5,501.40

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Solution

The fourth proportional to 9,209.52, 13,796.04 and 5,501.40 is: 8,241.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.52 : 13,796.04 = 5,501.40 : x
  2. Step 2: Convert to fraction form
    9,209.52/13,796.04 = 5,501.40/x
  3. Step 3: Cross multiply
    9,209.52x = 13,796.04 × 5,501.40
  4. Step 4: Simplify right side
    9,209.52x = 75,897,534.46
  5. Step 5: Solve for x
    x = 75,897,534.46/9,209.52
  6. Step 6: Final answer
    x = 8,241.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.