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Finding the Fourth Proportional to 9,171.84, 12,657.48 and 5,192.76

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Solution

The fourth proportional to 9,171.84, 12,657.48 and 5,192.76 is: 7,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.84 : 12,657.48 = 5,192.76 : x
  2. Step 2: Convert to fraction form
    9,171.84/12,657.48 = 5,192.76/x
  3. Step 3: Cross multiply
    9,171.84x = 12,657.48 × 5,192.76
  4. Step 4: Simplify right side
    9,171.84x = 65,727,255.84
  5. Step 5: Solve for x
    x = 65,727,255.84/9,171.84
  6. Step 6: Final answer
    x = 7,166.20

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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.