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Finding the Fourth Proportional to 6,947.76, 9,587.84 and 3,761.00

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Solution

The fourth proportional to 6,947.76, 9,587.84 and 3,761.00 is: 5,190.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.76 : 9,587.84 = 3,761.00 : x
  2. Step 2: Convert to fraction form
    6,947.76/9,587.84 = 3,761.00/x
  3. Step 3: Cross multiply
    6,947.76x = 9,587.84 × 3,761.00
  4. Step 4: Simplify right side
    6,947.76x = 36,059,851.41
  5. Step 5: Solve for x
    x = 36,059,851.41/6,947.76
  6. Step 6: Final answer
    x = 5,190.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.