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Finding the Fourth Proportional to 6,541.25, 9,017.39 and 4,966.61

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Solution

The fourth proportional to 6,541.25, 9,017.39 and 4,966.61 is: 6,846.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,541.25 : 9,017.39 = 4,966.61 : x
  2. Step 2: Convert to fraction form
    6,541.25/9,017.39 = 4,966.61/x
  3. Step 3: Cross multiply
    6,541.25x = 9,017.39 × 4,966.61
  4. Step 4: Simplify right side
    6,541.25x = 44,785,826.68
  5. Step 5: Solve for x
    x = 44,785,826.68/6,541.25
  6. Step 6: Final answer
    x = 6,846.68

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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.