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Finding the Fourth Proportional to 6,284.40, 9,422.73 and 2,124

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Solution

The fourth proportional to 6,284.40, 9,422.73 and 2,124 is: 3,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.40 : 9,422.73 = 2,124 : x
  2. Step 2: Convert to fraction form
    6,284.40/9,422.73 = 2,124/x
  3. Step 3: Cross multiply
    6,284.40x = 9,422.73 × 2,124
  4. Step 4: Simplify right side
    6,284.40x = 20,013,878.52
  5. Step 5: Solve for x
    x = 20,013,878.52/6,284.40
  6. Step 6: Final answer
    x = 3,184.69

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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.