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Finding the Fourth Proportional to 9,422.78, 13,003.48 and 5,888.04

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Solution

The fourth proportional to 9,422.78, 13,003.48 and 5,888.04 is: 8,125.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.78 : 13,003.48 = 5,888.04 : x
  2. Step 2: Convert to fraction form
    9,422.78/13,003.48 = 5,888.04/x
  3. Step 3: Cross multiply
    9,422.78x = 13,003.48 × 5,888.04
  4. Step 4: Simplify right side
    9,422.78x = 76,565,010.38
  5. Step 5: Solve for x
    x = 76,565,010.38/9,422.78
  6. Step 6: Final answer
    x = 8,125.52

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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.