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Finding the Fourth Proportional to 9,228.96, 12,736.02 and 5,037.24

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Solution

The fourth proportional to 9,228.96, 12,736.02 and 5,037.24 is: 6,951.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.96 : 12,736.02 = 5,037.24 : x
  2. Step 2: Convert to fraction form
    9,228.96/12,736.02 = 5,037.24/x
  3. Step 3: Cross multiply
    9,228.96x = 12,736.02 × 5,037.24
  4. Step 4: Simplify right side
    9,228.96x = 64,154,389.38
  5. Step 5: Solve for x
    x = 64,154,389.38/9,228.96
  6. Step 6: Final answer
    x = 6,951.42

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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.