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Finding the Fourth Proportional to 6,340.86, 9,508.86 and 4,387.14

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Solution

The fourth proportional to 6,340.86, 9,508.86 and 4,387.14 is: 6,579.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,340.86 : 9,508.86 = 4,387.14 : x
  2. Step 2: Convert to fraction form
    6,340.86/9,508.86 = 4,387.14/x
  3. Step 3: Cross multiply
    6,340.86x = 9,508.86 × 4,387.14
  4. Step 4: Simplify right side
    6,340.86x = 41,716,700.06
  5. Step 5: Solve for x
    x = 41,716,700.06/6,340.86
  6. Step 6: Final answer
    x = 6,579.03

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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.