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Finding the Fourth Proportional to 9,247.49, 13,876.70 and 4,865.29

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Solution

The fourth proportional to 9,247.49, 13,876.70 and 4,865.29 is: 7,300.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.49 : 13,876.70 = 4,865.29 : x
  2. Step 2: Convert to fraction form
    9,247.49/13,876.70 = 4,865.29/x
  3. Step 3: Cross multiply
    9,247.49x = 13,876.70 × 4,865.29
  4. Step 4: Simplify right side
    9,247.49x = 67,514,169.74
  5. Step 5: Solve for x
    x = 67,514,169.74/9,247.49
  6. Step 6: Final answer
    x = 7,300.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.