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Finding the Fourth Proportional to 6,514.14, 9,768.60 and 2,352.68

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Solution

The fourth proportional to 6,514.14, 9,768.60 and 2,352.68 is: 3,528.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.14 : 9,768.60 = 2,352.68 : x
  2. Step 2: Convert to fraction form
    6,514.14/9,768.60 = 2,352.68/x
  3. Step 3: Cross multiply
    6,514.14x = 9,768.60 × 2,352.68
  4. Step 4: Simplify right side
    6,514.14x = 22,982,341.01
  5. Step 5: Solve for x
    x = 22,982,341.01/6,514.14
  6. Step 6: Final answer
    x = 3,528.07

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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.