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Finding the Fourth Proportional to 9,255.34, 12,772.47 and 5,063.50

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Solution

The fourth proportional to 9,255.34, 12,772.47 and 5,063.50 is: 6,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,255.34 : 12,772.47 = 5,063.50 : x
  2. Step 2: Convert to fraction form
    9,255.34/12,772.47 = 5,063.50/x
  3. Step 3: Cross multiply
    9,255.34x = 12,772.47 × 5,063.50
  4. Step 4: Simplify right side
    9,255.34x = 64,673,401.85
  5. Step 5: Solve for x
    x = 64,673,401.85/9,255.34
  6. Step 6: Final answer
    x = 6,987.69

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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.