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Finding the Fourth Proportional to 9,209.16, 12,708.72 and 5,017.68

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Solution

The fourth proportional to 9,209.16, 12,708.72 and 5,017.68 is: 6,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.16 : 12,708.72 = 5,017.68 : x
  2. Step 2: Convert to fraction form
    9,209.16/12,708.72 = 5,017.68/x
  3. Step 3: Cross multiply
    9,209.16x = 12,708.72 × 5,017.68
  4. Step 4: Simplify right side
    9,209.16x = 63,768,290.17
  5. Step 5: Solve for x
    x = 63,768,290.17/9,209.16
  6. Step 6: Final answer
    x = 6,924.44

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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.