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Finding the Fourth Proportional to 9,195.84, 12,689.62 and 5,217.59

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Solution

The fourth proportional to 9,195.84, 12,689.62 and 5,217.59 is: 7,199.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,195.84 : 12,689.62 = 5,217.59 : x
  2. Step 2: Convert to fraction form
    9,195.84/12,689.62 = 5,217.59/x
  3. Step 3: Cross multiply
    9,195.84x = 12,689.62 × 5,217.59
  4. Step 4: Simplify right side
    9,195.84x = 66,209,253.10
  5. Step 5: Solve for x
    x = 66,209,253.10/9,195.84
  6. Step 6: Final answer
    x = 7,199.91

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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.