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Finding the Fourth Proportional to 9,209.42, 12,709.14 and 5,017.68

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Solution

The fourth proportional to 9,209.42, 12,709.14 and 5,017.68 is: 6,924.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.42 : 12,709.14 = 5,017.68 : x
  2. Step 2: Convert to fraction form
    9,209.42/12,709.14 = 5,017.68/x
  3. Step 3: Cross multiply
    9,209.42x = 12,709.14 × 5,017.68
  4. Step 4: Simplify right side
    9,209.42x = 63,770,397.60
  5. Step 5: Solve for x
    x = 63,770,397.60/9,209.42
  6. Step 6: Final answer
    x = 6,924.47

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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.