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Finding the Fourth Proportional to 9,042.88, 13,585.16 and 8,669.22

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Solution

The fourth proportional to 9,042.88, 13,585.16 and 8,669.22 is: 13,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.88 : 13,585.16 = 8,669.22 : x
  2. Step 2: Convert to fraction form
    9,042.88/13,585.16 = 8,669.22/x
  3. Step 3: Cross multiply
    9,042.88x = 13,585.16 × 8,669.22
  4. Step 4: Simplify right side
    9,042.88x = 117,772,711.50
  5. Step 5: Solve for x
    x = 117,772,711.50/9,042.88
  6. Step 6: Final answer
    x = 13,023.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.