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Finding the Fourth Proportional to 6,526.68, 9,006.30 and 3,874.74

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Solution

The fourth proportional to 6,526.68, 9,006.30 and 3,874.74 is: 5,346.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,526.68 : 9,006.30 = 3,874.74 : x
  2. Step 2: Convert to fraction form
    6,526.68/9,006.30 = 3,874.74/x
  3. Step 3: Cross multiply
    6,526.68x = 9,006.30 × 3,874.74
  4. Step 4: Simplify right side
    6,526.68x = 34,897,070.86
  5. Step 5: Solve for x
    x = 34,897,070.86/6,526.68
  6. Step 6: Final answer
    x = 5,346.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.