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Finding the Fourth Proportional to 9,037.52, 12,471.65 and 5,003.96

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Solution

The fourth proportional to 9,037.52, 12,471.65 and 5,003.96 is: 6,905.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.52 : 12,471.65 = 5,003.96 : x
  2. Step 2: Convert to fraction form
    9,037.52/12,471.65 = 5,003.96/x
  3. Step 3: Cross multiply
    9,037.52x = 12,471.65 × 5,003.96
  4. Step 4: Simplify right side
    9,037.52x = 62,407,640.81
  5. Step 5: Solve for x
    x = 62,407,640.81/9,037.52
  6. Step 6: Final answer
    x = 6,905.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.