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Finding the Fourth Proportional to 9,023.78, 13,537.80 and 2,867.78

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Solution

The fourth proportional to 9,023.78, 13,537.80 and 2,867.78 is: 4,302.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.78 : 13,537.80 = 2,867.78 : x
  2. Step 2: Convert to fraction form
    9,023.78/13,537.80 = 2,867.78/x
  3. Step 3: Cross multiply
    9,023.78x = 13,537.80 × 2,867.78
  4. Step 4: Simplify right side
    9,023.78x = 38,823,432.08
  5. Step 5: Solve for x
    x = 38,823,432.08/9,023.78
  6. Step 6: Final answer
    x = 4,302.35

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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.