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Finding the Fourth Proportional to 6,271.16, 9,404.10 and 2,572.43

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Solution

The fourth proportional to 6,271.16, 9,404.10 and 2,572.43 is: 3,857.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.16 : 9,404.10 = 2,572.43 : x
  2. Step 2: Convert to fraction form
    6,271.16/9,404.10 = 2,572.43/x
  3. Step 3: Cross multiply
    6,271.16x = 9,404.10 × 2,572.43
  4. Step 4: Simplify right side
    6,271.16x = 24,191,341.94
  5. Step 5: Solve for x
    x = 24,191,341.94/6,271.16
  6. Step 6: Final answer
    x = 3,857.56

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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.