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Finding the Fourth Proportional to 9,171.91, 12,656.99 and 5,193.40

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Solution

The fourth proportional to 9,171.91, 12,656.99 and 5,193.40 is: 7,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.91 : 12,656.99 = 5,193.40 : x
  2. Step 2: Convert to fraction form
    9,171.91/12,656.99 = 5,193.40/x
  3. Step 3: Cross multiply
    9,171.91x = 12,656.99 × 5,193.40
  4. Step 4: Simplify right side
    9,171.91x = 65,732,722.61
  5. Step 5: Solve for x
    x = 65,732,722.61/9,171.91
  6. Step 6: Final answer
    x = 7,166.75

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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.