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Finding the Fourth Proportional to 6,402.48, 9,589.32 and 4,761.84

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Solution

The fourth proportional to 6,402.48, 9,589.32 and 4,761.84 is: 7,132.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.48 : 9,589.32 = 4,761.84 : x
  2. Step 2: Convert to fraction form
    6,402.48/9,589.32 = 4,761.84/x
  3. Step 3: Cross multiply
    6,402.48x = 9,589.32 × 4,761.84
  4. Step 4: Simplify right side
    6,402.48x = 45,662,807.55
  5. Step 5: Solve for x
    x = 45,662,807.55/6,402.48
  6. Step 6: Final answer
    x = 7,132.05

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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.