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Finding the Fourth Proportional to 9,204.64, 12,702.32 and 5,012.88

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Solution

The fourth proportional to 9,204.64, 12,702.32 and 5,012.88 is: 6,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.64 : 12,702.32 = 5,012.88 : x
  2. Step 2: Convert to fraction form
    9,204.64/12,702.32 = 5,012.88/x
  3. Step 3: Cross multiply
    9,204.64x = 12,702.32 × 5,012.88
  4. Step 4: Simplify right side
    9,204.64x = 63,675,205.88
  5. Step 5: Solve for x
    x = 63,675,205.88/9,204.64
  6. Step 6: Final answer
    x = 6,917.73

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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.