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Finding the Fourth Proportional to 9,494.04, 13,101.30 and 5,301.48

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Solution

The fourth proportional to 9,494.04, 13,101.30 and 5,301.48 is: 7,315.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.04 : 13,101.30 = 5,301.48 : x
  2. Step 2: Convert to fraction form
    9,494.04/13,101.30 = 5,301.48/x
  3. Step 3: Cross multiply
    9,494.04x = 13,101.30 × 5,301.48
  4. Step 4: Simplify right side
    9,494.04x = 69,456,279.92
  5. Step 5: Solve for x
    x = 69,456,279.92/9,494.04
  6. Step 6: Final answer
    x = 7,315.78

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