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Finding the Fourth Proportional to 6,909.88, 9,528.40 and 4,549

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Solution

The fourth proportional to 6,909.88, 9,528.40 and 4,549 is: 6,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.88 : 9,528.40 = 4,549 : x
  2. Step 2: Convert to fraction form
    6,909.88/9,528.40 = 4,549/x
  3. Step 3: Cross multiply
    6,909.88x = 9,528.40 × 4,549
  4. Step 4: Simplify right side
    6,909.88x = 43,344,691.60
  5. Step 5: Solve for x
    x = 43,344,691.60/6,909.88
  6. Step 6: Final answer
    x = 6,272.86

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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.