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Finding the Fourth Proportional to 9,192.54, 12,685.96 and 5,657.78

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Solution

The fourth proportional to 9,192.54, 12,685.96 and 5,657.78 is: 7,807.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.54 : 12,685.96 = 5,657.78 : x
  2. Step 2: Convert to fraction form
    9,192.54/12,685.96 = 5,657.78/x
  3. Step 3: Cross multiply
    9,192.54x = 12,685.96 × 5,657.78
  4. Step 4: Simplify right side
    9,192.54x = 71,774,370.77
  5. Step 5: Solve for x
    x = 71,774,370.77/9,192.54
  6. Step 6: Final answer
    x = 7,807.89

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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.