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Finding the Fourth Proportional to 39,097.09, 58,645.14 and 9,514.99

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Solution

The fourth proportional to 39,097.09, 58,645.14 and 9,514.99 is: 14,272.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.09 : 58,645.14 = 9,514.99 : x
  2. Step 2: Convert to fraction form
    39,097.09/58,645.14 = 9,514.99/x
  3. Step 3: Cross multiply
    39,097.09x = 58,645.14 × 9,514.99
  4. Step 4: Simplify right side
    39,097.09x = 558,007,920.65
  5. Step 5: Solve for x
    x = 558,007,920.65/39,097.09
  6. Step 6: Final answer
    x = 14,272.36

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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.