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Finding the Fourth Proportional to 9,264.64, 12,785.88 and 6,115.36

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Solution

The fourth proportional to 9,264.64, 12,785.88 and 6,115.36 is: 8,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.64 : 12,785.88 = 6,115.36 : x
  2. Step 2: Convert to fraction form
    9,264.64/12,785.88 = 6,115.36/x
  3. Step 3: Cross multiply
    9,264.64x = 12,785.88 × 6,115.36
  4. Step 4: Simplify right side
    9,264.64x = 78,190,259.12
  5. Step 5: Solve for x
    x = 78,190,259.12/9,264.64
  6. Step 6: Final answer
    x = 8,439.64

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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.