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Finding the Fourth Proportional to 9,738.50, 13,432.86 and 6,147.11

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Solution

The fourth proportional to 9,738.50, 13,432.86 and 6,147.11 is: 8,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.50 : 13,432.86 = 6,147.11 : x
  2. Step 2: Convert to fraction form
    9,738.50/13,432.86 = 6,147.11/x
  3. Step 3: Cross multiply
    9,738.50x = 13,432.86 × 6,147.11
  4. Step 4: Simplify right side
    9,738.50x = 82,573,200.87
  5. Step 5: Solve for x
    x = 82,573,200.87/9,738.50
  6. Step 6: Final answer
    x = 8,479.05

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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.