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Finding the Fourth Proportional to 9,532.85, 13,148.06 and 8,351.87

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Solution

The fourth proportional to 9,532.85, 13,148.06 and 8,351.87 is: 11,519.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.85 : 13,148.06 = 8,351.87 : x
  2. Step 2: Convert to fraction form
    9,532.85/13,148.06 = 8,351.87/x
  3. Step 3: Cross multiply
    9,532.85x = 13,148.06 × 8,351.87
  4. Step 4: Simplify right side
    9,532.85x = 109,810,780.37
  5. Step 5: Solve for x
    x = 109,810,780.37/9,532.85
  6. Step 6: Final answer
    x = 11,519.20

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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.