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Finding the Fourth Proportional to 6,294.72, 9,406.08 and 4,531.20

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Solution

The fourth proportional to 6,294.72, 9,406.08 and 4,531.20 is: 6,770.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.72 : 9,406.08 = 4,531.20 : x
  2. Step 2: Convert to fraction form
    6,294.72/9,406.08 = 4,531.20/x
  3. Step 3: Cross multiply
    6,294.72x = 9,406.08 × 4,531.20
  4. Step 4: Simplify right side
    6,294.72x = 42,620,829.70
  5. Step 5: Solve for x
    x = 42,620,829.70/6,294.72
  6. Step 6: Final answer
    x = 6,770.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.