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Finding the Fourth Proportional to 9,247.70, 12,763.68 and 5,894.48

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Solution

The fourth proportional to 9,247.70, 12,763.68 and 5,894.48 is: 8,135.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.70 : 12,763.68 = 5,894.48 : x
  2. Step 2: Convert to fraction form
    9,247.70/12,763.68 = 5,894.48/x
  3. Step 3: Cross multiply
    9,247.70x = 12,763.68 × 5,894.48
  4. Step 4: Simplify right side
    9,247.70x = 75,235,256.49
  5. Step 5: Solve for x
    x = 75,235,256.49/9,247.70
  6. Step 6: Final answer
    x = 8,135.56

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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.