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Finding the Fourth Proportional to 9,209.46, 12,708.96 and 5,017.74

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Solution

The fourth proportional to 9,209.46, 12,708.96 and 5,017.74 is: 6,924.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.46 : 12,708.96 = 5,017.74 : x
  2. Step 2: Convert to fraction form
    9,209.46/12,708.96 = 5,017.74/x
  3. Step 3: Cross multiply
    9,209.46x = 12,708.96 × 5,017.74
  4. Step 4: Simplify right side
    9,209.46x = 63,770,256.95
  5. Step 5: Solve for x
    x = 63,770,256.95/9,209.46
  6. Step 6: Final answer
    x = 6,924.43

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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.