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Finding the Fourth Proportional to 6,301.33, 9,442.71 and 5,609.32

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Solution

The fourth proportional to 6,301.33, 9,442.71 and 5,609.32 is: 8,405.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.33 : 9,442.71 = 5,609.32 : x
  2. Step 2: Convert to fraction form
    6,301.33/9,442.71 = 5,609.32/x
  3. Step 3: Cross multiply
    6,301.33x = 9,442.71 × 5,609.32
  4. Step 4: Simplify right side
    6,301.33x = 52,967,158.45
  5. Step 5: Solve for x
    x = 52,967,158.45/6,301.33
  6. Step 6: Final answer
    x = 8,405.71

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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.