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Finding the Fourth Proportional to 6,294.64, 8,686.58 and 3,500.14

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Solution

The fourth proportional to 6,294.64, 8,686.58 and 3,500.14 is: 4,830.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.64 : 8,686.58 = 3,500.14 : x
  2. Step 2: Convert to fraction form
    6,294.64/8,686.58 = 3,500.14/x
  3. Step 3: Cross multiply
    6,294.64x = 8,686.58 × 3,500.14
  4. Step 4: Simplify right side
    6,294.64x = 30,404,246.12
  5. Step 5: Solve for x
    x = 30,404,246.12/6,294.64
  6. Step 6: Final answer
    x = 4,830.18

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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.