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Finding the Fourth Proportional to 9,193.47, 12,687.72 and 5,160.69

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Solution

The fourth proportional to 9,193.47, 12,687.72 and 5,160.69 is: 7,122.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.47 : 12,687.72 = 5,160.69 : x
  2. Step 2: Convert to fraction form
    9,193.47/12,687.72 = 5,160.69/x
  3. Step 3: Cross multiply
    9,193.47x = 12,687.72 × 5,160.69
  4. Step 4: Simplify right side
    9,193.47x = 65,477,389.73
  5. Step 5: Solve for x
    x = 65,477,389.73/9,193.47
  6. Step 6: Final answer
    x = 7,122.16

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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.