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Finding the Fourth Proportional to 8,223.76, 12,341.04 and 6,025.78

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Solution

The fourth proportional to 8,223.76, 12,341.04 and 6,025.78 is: 9,042.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.76 : 12,341.04 = 6,025.78 : x
  2. Step 2: Convert to fraction form
    8,223.76/12,341.04 = 6,025.78/x
  3. Step 3: Cross multiply
    8,223.76x = 12,341.04 × 6,025.78
  4. Step 4: Simplify right side
    8,223.76x = 74,364,392.01
  5. Step 5: Solve for x
    x = 74,364,392.01/8,223.76
  6. Step 6: Final answer
    x = 9,042.63

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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.