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Finding the Fourth Proportional to 9,177.40, 12,665.10 and 5,198.42

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Solution

The fourth proportional to 9,177.40, 12,665.10 and 5,198.42 is: 7,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,177.40 : 12,665.10 = 5,198.42 : x
  2. Step 2: Convert to fraction form
    9,177.40/12,665.10 = 5,198.42/x
  3. Step 3: Cross multiply
    9,177.40x = 12,665.10 × 5,198.42
  4. Step 4: Simplify right side
    9,177.40x = 65,838,509.14
  5. Step 5: Solve for x
    x = 65,838,509.14/9,177.40
  6. Step 6: Final answer
    x = 7,173.99

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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.