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Finding the Fourth Proportional to 6,284.53, 9,422.92 and 2,124.14

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Solution

The fourth proportional to 6,284.53, 9,422.92 and 2,124.14 is: 3,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.53 : 9,422.92 = 2,124.14 : x
  2. Step 2: Convert to fraction form
    6,284.53/9,422.92 = 2,124.14/x
  3. Step 3: Cross multiply
    6,284.53x = 9,422.92 × 2,124.14
  4. Step 4: Simplify right side
    6,284.53x = 20,015,590.67
  5. Step 5: Solve for x
    x = 20,015,590.67/6,284.53
  6. Step 6: Final answer
    x = 3,184.90

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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.