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Finding the Fourth Proportional to 6,061.76, 9,092.63 and 1,957.76

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Solution

The fourth proportional to 6,061.76, 9,092.63 and 1,957.76 is: 2,936.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,061.76 : 9,092.63 = 1,957.76 : x
  2. Step 2: Convert to fraction form
    6,061.76/9,092.63 = 1,957.76/x
  3. Step 3: Cross multiply
    6,061.76x = 9,092.63 × 1,957.76
  4. Step 4: Simplify right side
    6,061.76x = 17,801,187.31
  5. Step 5: Solve for x
    x = 17,801,187.31/6,061.76
  6. Step 6: Final answer
    x = 2,936.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.