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Finding the Fourth Proportional to 9,002.35, 12,422.46 and 5,815.80

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Solution

The fourth proportional to 9,002.35, 12,422.46 and 5,815.80 is: 8,025.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.35 : 12,422.46 = 5,815.80 : x
  2. Step 2: Convert to fraction form
    9,002.35/12,422.46 = 5,815.80/x
  3. Step 3: Cross multiply
    9,002.35x = 12,422.46 × 5,815.80
  4. Step 4: Simplify right side
    9,002.35x = 72,246,564.68
  5. Step 5: Solve for x
    x = 72,246,564.68/9,002.35
  6. Step 6: Final answer
    x = 8,025.30

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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.