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Finding the Fourth Proportional to 9,023.22, 12,452.00 and 5,044.30

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Solution

The fourth proportional to 9,023.22, 12,452.00 and 5,044.30 is: 6,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.22 : 12,452.00 = 5,044.30 : x
  2. Step 2: Convert to fraction form
    9,023.22/12,452.00 = 5,044.30/x
  3. Step 3: Cross multiply
    9,023.22x = 12,452.00 × 5,044.30
  4. Step 4: Simplify right side
    9,023.22x = 62,811,598.38
  5. Step 5: Solve for x
    x = 62,811,598.38/9,023.22
  6. Step 6: Final answer
    x = 6,961.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.