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Finding the Fourth Proportional to 7,046.29, 9,726.04 and 4,064.11

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Solution

The fourth proportional to 7,046.29, 9,726.04 and 4,064.11 is: 5,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.29 : 9,726.04 = 4,064.11 : x
  2. Step 2: Convert to fraction form
    7,046.29/9,726.04 = 4,064.11/x
  3. Step 3: Cross multiply
    7,046.29x = 9,726.04 × 4,064.11
  4. Step 4: Simplify right side
    7,046.29x = 39,527,696.42
  5. Step 5: Solve for x
    x = 39,527,696.42/7,046.29
  6. Step 6: Final answer
    x = 5,609.72

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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.