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Finding the Fourth Proportional to 9,462.69, 14,169.41 and 5,058.61

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Solution

The fourth proportional to 9,462.69, 14,169.41 and 5,058.61 is: 7,574.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.69 : 14,169.41 = 5,058.61 : x
  2. Step 2: Convert to fraction form
    9,462.69/14,169.41 = 5,058.61/x
  3. Step 3: Cross multiply
    9,462.69x = 14,169.41 × 5,058.61
  4. Step 4: Simplify right side
    9,462.69x = 71,677,519.12
  5. Step 5: Solve for x
    x = 71,677,519.12/9,462.69
  6. Step 6: Final answer
    x = 7,574.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.