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Finding the Fourth Proportional to 9,461.69, 14,167.91 and 5,057.61

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Solution

The fourth proportional to 9,461.69, 14,167.91 and 5,057.61 is: 7,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.69 : 14,167.91 = 5,057.61 : x
  2. Step 2: Convert to fraction form
    9,461.69/14,167.91 = 5,057.61/x
  3. Step 3: Cross multiply
    9,461.69x = 14,167.91 × 5,057.61
  4. Step 4: Simplify right side
    9,461.69x = 71,655,842.35
  5. Step 5: Solve for x
    x = 71,655,842.35/9,461.69
  6. Step 6: Final answer
    x = 7,573.26

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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.