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Finding the Fourth Proportional to 6,432.32, 9,590.69 and 5,883.14

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Solution

The fourth proportional to 6,432.32, 9,590.69 and 5,883.14 is: 8,771.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.32 : 9,590.69 = 5,883.14 : x
  2. Step 2: Convert to fraction form
    6,432.32/9,590.69 = 5,883.14/x
  3. Step 3: Cross multiply
    6,432.32x = 9,590.69 × 5,883.14
  4. Step 4: Simplify right side
    6,432.32x = 56,423,371.97
  5. Step 5: Solve for x
    x = 56,423,371.97/6,432.32
  6. Step 6: Final answer
    x = 8,771.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.