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Finding the Fourth Proportional to 9,652.32, 13,321.62 and 6,115.86

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Solution

The fourth proportional to 9,652.32, 13,321.62 and 6,115.86 is: 8,440.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,652.32 : 13,321.62 = 6,115.86 : x
  2. Step 2: Convert to fraction form
    9,652.32/13,321.62 = 6,115.86/x
  3. Step 3: Cross multiply
    9,652.32x = 13,321.62 × 6,115.86
  4. Step 4: Simplify right side
    9,652.32x = 81,473,162.89
  5. Step 5: Solve for x
    x = 81,473,162.89/9,652.32
  6. Step 6: Final answer
    x = 8,440.79

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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.