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Finding the Fourth Proportional to 6,320.22, 9,472.63 and 4,471.87

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Solution

The fourth proportional to 6,320.22, 9,472.63 and 4,471.87 is: 6,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.22 : 9,472.63 = 4,471.87 : x
  2. Step 2: Convert to fraction form
    6,320.22/9,472.63 = 4,471.87/x
  3. Step 3: Cross multiply
    6,320.22x = 9,472.63 × 4,471.87
  4. Step 4: Simplify right side
    6,320.22x = 42,360,369.92
  5. Step 5: Solve for x
    x = 42,360,369.92/6,320.22
  6. Step 6: Final answer
    x = 6,702.36

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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.