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Finding the Fourth Proportional to 6,470.86, 9,706.34 and 2,575.28

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Solution

The fourth proportional to 6,470.86, 9,706.34 and 2,575.28 is: 3,862.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.86 : 9,706.34 = 2,575.28 : x
  2. Step 2: Convert to fraction form
    6,470.86/9,706.34 = 2,575.28/x
  3. Step 3: Cross multiply
    6,470.86x = 9,706.34 × 2,575.28
  4. Step 4: Simplify right side
    6,470.86x = 24,996,543.28
  5. Step 5: Solve for x
    x = 24,996,543.28/6,470.86
  6. Step 6: Final answer
    x = 3,862.94

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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.