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Finding the Fourth Proportional to 7,046.81, 9,726.34 and 4,064.43

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Solution

The fourth proportional to 7,046.81, 9,726.34 and 4,064.43 is: 5,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.81 : 9,726.34 = 4,064.43 : x
  2. Step 2: Convert to fraction form
    7,046.81/9,726.34 = 4,064.43/x
  3. Step 3: Cross multiply
    7,046.81x = 9,726.34 × 4,064.43
  4. Step 4: Simplify right side
    7,046.81x = 39,532,062.56
  5. Step 5: Solve for x
    x = 39,532,062.56/7,046.81
  6. Step 6: Final answer
    x = 5,609.93

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