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Finding the Fourth Proportional to 6,341.45, 9,514.89 and 2,448.59

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Solution

The fourth proportional to 6,341.45, 9,514.89 and 2,448.59 is: 3,673.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.45 : 9,514.89 = 2,448.59 : x
  2. Step 2: Convert to fraction form
    6,341.45/9,514.89 = 2,448.59/x
  3. Step 3: Cross multiply
    6,341.45x = 9,514.89 × 2,448.59
  4. Step 4: Simplify right side
    6,341.45x = 23,298,016.93
  5. Step 5: Solve for x
    x = 23,298,016.93/6,341.45
  6. Step 6: Final answer
    x = 3,673.93

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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.