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Finding the Fourth Proportional to 6,366.74, 8,785.98 and 3,534.12

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Solution

The fourth proportional to 6,366.74, 8,785.98 and 3,534.12 is: 4,877.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.74 : 8,785.98 = 3,534.12 : x
  2. Step 2: Convert to fraction form
    6,366.74/8,785.98 = 3,534.12/x
  3. Step 3: Cross multiply
    6,366.74x = 8,785.98 × 3,534.12
  4. Step 4: Simplify right side
    6,366.74x = 31,050,707.64
  5. Step 5: Solve for x
    x = 31,050,707.64/6,366.74
  6. Step 6: Final answer
    x = 4,877.02

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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.