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Finding the Fourth Proportional to 6,277.68, 9,418.06 and 4,432.40

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Solution

The fourth proportional to 6,277.68, 9,418.06 and 4,432.40 is: 6,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.68 : 9,418.06 = 4,432.40 : x
  2. Step 2: Convert to fraction form
    6,277.68/9,418.06 = 4,432.40/x
  3. Step 3: Cross multiply
    6,277.68x = 9,418.06 × 4,432.40
  4. Step 4: Simplify right side
    6,277.68x = 41,744,609.14
  5. Step 5: Solve for x
    x = 41,744,609.14/6,277.68
  6. Step 6: Final answer
    x = 6,649.69

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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.