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Finding the Fourth Proportional to 6,947.28, 9,587.18 and 3,803.46

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Solution

The fourth proportional to 6,947.28, 9,587.18 and 3,803.46 is: 5,248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.28 : 9,587.18 = 3,803.46 : x
  2. Step 2: Convert to fraction form
    6,947.28/9,587.18 = 3,803.46/x
  3. Step 3: Cross multiply
    6,947.28x = 9,587.18 × 3,803.46
  4. Step 4: Simplify right side
    6,947.28x = 36,464,455.64
  5. Step 5: Solve for x
    x = 36,464,455.64/6,947.28
  6. Step 6: Final answer
    x = 5,248.74

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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.