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Finding the Fourth Proportional to 9,378.24, 12,941 and 5,398.58

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Solution

The fourth proportional to 9,378.24, 12,941 and 5,398.58 is: 7,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378.24 : 12,941 = 5,398.58 : x
  2. Step 2: Convert to fraction form
    9,378.24/12,941 = 5,398.58/x
  3. Step 3: Cross multiply
    9,378.24x = 12,941 × 5,398.58
  4. Step 4: Simplify right side
    9,378.24x = 69,863,023.78
  5. Step 5: Solve for x
    x = 69,863,023.78/9,378.24
  6. Step 6: Final answer
    x = 7,449.48

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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.