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Finding the Fourth Proportional to 9,427.20, 13,001.76 and 7,201.68

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Solution

The fourth proportional to 9,427.20, 13,001.76 and 7,201.68 is: 9,932.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,427.20 : 13,001.76 = 7,201.68 : x
  2. Step 2: Convert to fraction form
    9,427.20/13,001.76 = 7,201.68/x
  3. Step 3: Cross multiply
    9,427.20x = 13,001.76 × 7,201.68
  4. Step 4: Simplify right side
    9,427.20x = 93,634,514.96
  5. Step 5: Solve for x
    x = 93,634,514.96/9,427.20
  6. Step 6: Final answer
    x = 9,932.38

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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.