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Finding the Fourth Proportional to 6,472.32, 9,709.12 and 2,775.04

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Solution

The fourth proportional to 6,472.32, 9,709.12 and 2,775.04 is: 4,162.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.32 : 9,709.12 = 2,775.04 : x
  2. Step 2: Convert to fraction form
    6,472.32/9,709.12 = 2,775.04/x
  3. Step 3: Cross multiply
    6,472.32x = 9,709.12 × 2,775.04
  4. Step 4: Simplify right side
    6,472.32x = 26,943,196.36
  5. Step 5: Solve for x
    x = 26,943,196.36/6,472.32
  6. Step 6: Final answer
    x = 4,162.83

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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.