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Finding the Fourth Proportional to 7,092.97, 9,785.20 and 4,968.87

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Solution

The fourth proportional to 7,092.97, 9,785.20 and 4,968.87 is: 6,854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,092.97 : 9,785.20 = 4,968.87 : x
  2. Step 2: Convert to fraction form
    7,092.97/9,785.20 = 4,968.87/x
  3. Step 3: Cross multiply
    7,092.97x = 9,785.20 × 4,968.87
  4. Step 4: Simplify right side
    7,092.97x = 48,621,386.72
  5. Step 5: Solve for x
    x = 48,621,386.72/7,092.97
  6. Step 6: Final answer
    x = 6,854.87

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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.