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Finding the Fourth Proportional to 6,341.07, 9,500.75 and 4,489.14

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Solution

The fourth proportional to 6,341.07, 9,500.75 and 4,489.14 is: 6,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.07 : 9,500.75 = 4,489.14 : x
  2. Step 2: Convert to fraction form
    6,341.07/9,500.75 = 4,489.14/x
  3. Step 3: Cross multiply
    6,341.07x = 9,500.75 × 4,489.14
  4. Step 4: Simplify right side
    6,341.07x = 42,650,174.41
  5. Step 5: Solve for x
    x = 42,650,174.41/6,341.07
  6. Step 6: Final answer
    x = 6,726.02

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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.