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Finding the Fourth Proportional to 6,367.04, 8,785.61 and 3,534.20

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Solution

The fourth proportional to 6,367.04, 8,785.61 and 3,534.20 is: 4,876.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.04 : 8,785.61 = 3,534.20 : x
  2. Step 2: Convert to fraction form
    6,367.04/8,785.61 = 3,534.20/x
  3. Step 3: Cross multiply
    6,367.04x = 8,785.61 × 3,534.20
  4. Step 4: Simplify right side
    6,367.04x = 31,050,041.26
  5. Step 5: Solve for x
    x = 31,050,041.26/6,367.04
  6. Step 6: Final answer
    x = 4,876.69

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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.