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Finding the Fourth Proportional to 9,247.40, 13,856.49 and 7,507.52

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Solution

The fourth proportional to 9,247.40, 13,856.49 and 7,507.52 is: 11,249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.40 : 13,856.49 = 7,507.52 : x
  2. Step 2: Convert to fraction form
    9,247.40/13,856.49 = 7,507.52/x
  3. Step 3: Cross multiply
    9,247.40x = 13,856.49 × 7,507.52
  4. Step 4: Simplify right side
    9,247.40x = 104,027,875.80
  5. Step 5: Solve for x
    x = 104,027,875.80/9,247.40
  6. Step 6: Final answer
    x = 11,249.42

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Why These Related Problems?

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