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Finding the Fourth Proportional to 6,574.08, 9,863.28 and 3,113.76

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Solution

The fourth proportional to 6,574.08, 9,863.28 and 3,113.76 is: 4,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.08 : 9,863.28 = 3,113.76 : x
  2. Step 2: Convert to fraction form
    6,574.08/9,863.28 = 3,113.76/x
  3. Step 3: Cross multiply
    6,574.08x = 9,863.28 × 3,113.76
  4. Step 4: Simplify right side
    6,574.08x = 30,711,886.73
  5. Step 5: Solve for x
    x = 30,711,886.73/6,574.08
  6. Step 6: Final answer
    x = 4,671.66

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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.