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Finding the Fourth Proportional to 9,593.30, 13,238.71 and 5,344.16

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Solution

The fourth proportional to 9,593.30, 13,238.71 and 5,344.16 is: 7,374.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.30 : 13,238.71 = 5,344.16 : x
  2. Step 2: Convert to fraction form
    9,593.30/13,238.71 = 5,344.16/x
  3. Step 3: Cross multiply
    9,593.30x = 13,238.71 × 5,344.16
  4. Step 4: Simplify right side
    9,593.30x = 70,749,704.88
  5. Step 5: Solve for x
    x = 70,749,704.88/9,593.30
  6. Step 6: Final answer
    x = 7,374.91

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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.