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Finding the Fourth Proportional to 9,432.32, 13,013.06 and 5,845.64

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Solution

The fourth proportional to 9,432.32, 13,013.06 and 5,845.64 is: 8,064.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.32 : 13,013.06 = 5,845.64 : x
  2. Step 2: Convert to fraction form
    9,432.32/13,013.06 = 5,845.64/x
  3. Step 3: Cross multiply
    9,432.32x = 13,013.06 × 5,845.64
  4. Step 4: Simplify right side
    9,432.32x = 76,069,664.06
  5. Step 5: Solve for x
    x = 76,069,664.06/9,432.32
  6. Step 6: Final answer
    x = 8,064.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.