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Finding the Fourth Proportional to 6,271.32, 9,403.89 and 2,572.53

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Solution

The fourth proportional to 6,271.32, 9,403.89 and 2,572.53 is: 3,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.32 : 9,403.89 = 2,572.53 : x
  2. Step 2: Convert to fraction form
    6,271.32/9,403.89 = 2,572.53/x
  3. Step 3: Cross multiply
    6,271.32x = 9,403.89 × 2,572.53
  4. Step 4: Simplify right side
    6,271.32x = 24,191,789.14
  5. Step 5: Solve for x
    x = 24,191,789.14/6,271.32
  6. Step 6: Final answer
    x = 3,857.53

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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.