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Finding the Fourth Proportional to 9,335.32, 12,884.34 and 6,349.12

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Solution

The fourth proportional to 9,335.32, 12,884.34 and 6,349.12 is: 8,762.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.32 : 12,884.34 = 6,349.12 : x
  2. Step 2: Convert to fraction form
    9,335.32/12,884.34 = 6,349.12/x
  3. Step 3: Cross multiply
    9,335.32x = 12,884.34 × 6,349.12
  4. Step 4: Simplify right side
    9,335.32x = 81,804,220.78
  5. Step 5: Solve for x
    x = 81,804,220.78/9,335.32
  6. Step 6: Final answer
    x = 8,762.87

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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.