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Finding the Fourth Proportional to 9,272.64, 12,794.04 and 5,293.92

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Solution

The fourth proportional to 9,272.64, 12,794.04 and 5,293.92 is: 7,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.64 : 12,794.04 = 5,293.92 : x
  2. Step 2: Convert to fraction form
    9,272.64/12,794.04 = 5,293.92/x
  3. Step 3: Cross multiply
    9,272.64x = 12,794.04 × 5,293.92
  4. Step 4: Simplify right side
    9,272.64x = 67,730,624.24
  5. Step 5: Solve for x
    x = 67,730,624.24/9,272.64
  6. Step 6: Final answer
    x = 7,304.35

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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.