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Finding the Fourth Proportional to 6,574.67, 9,856.45 and 2,874.08

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Solution

The fourth proportional to 6,574.67, 9,856.45 and 2,874.08 is: 4,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.67 : 9,856.45 = 2,874.08 : x
  2. Step 2: Convert to fraction form
    6,574.67/9,856.45 = 2,874.08/x
  3. Step 3: Cross multiply
    6,574.67x = 9,856.45 × 2,874.08
  4. Step 4: Simplify right side
    6,574.67x = 28,328,254.05
  5. Step 5: Solve for x
    x = 28,328,254.05/6,574.67
  6. Step 6: Final answer
    x = 4,308.70

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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.