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Finding the Fourth Proportional to 6,404.30, 9,591.67 and 6,182.66

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Solution

The fourth proportional to 6,404.30, 9,591.67 and 6,182.66 is: 9,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.30 : 9,591.67 = 6,182.66 : x
  2. Step 2: Convert to fraction form
    6,404.30/9,591.67 = 6,182.66/x
  3. Step 3: Cross multiply
    6,404.30x = 9,591.67 × 6,182.66
  4. Step 4: Simplify right side
    6,404.30x = 59,302,034.44
  5. Step 5: Solve for x
    x = 59,302,034.44/6,404.30
  6. Step 6: Final answer
    x = 9,259.72

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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.