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Finding the Fourth Proportional to 6,567.32, 9,061.29 and 4,212.65

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Solution

The fourth proportional to 6,567.32, 9,061.29 and 4,212.65 is: 5,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.32 : 9,061.29 = 4,212.65 : x
  2. Step 2: Convert to fraction form
    6,567.32/9,061.29 = 4,212.65/x
  3. Step 3: Cross multiply
    6,567.32x = 9,061.29 × 4,212.65
  4. Step 4: Simplify right side
    6,567.32x = 38,172,065.97
  5. Step 5: Solve for x
    x = 38,172,065.97/6,567.32
  6. Step 6: Final answer
    x = 5,812.42

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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.