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Finding the Fourth Proportional to 6,458.14, 9,680.18 and 2,712.34

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Solution

The fourth proportional to 6,458.14, 9,680.18 and 2,712.34 is: 4,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.14 : 9,680.18 = 2,712.34 : x
  2. Step 2: Convert to fraction form
    6,458.14/9,680.18 = 2,712.34/x
  3. Step 3: Cross multiply
    6,458.14x = 9,680.18 × 2,712.34
  4. Step 4: Simplify right side
    6,458.14x = 26,255,939.42
  5. Step 5: Solve for x
    x = 26,255,939.42/6,458.14
  6. Step 6: Final answer
    x = 4,065.56

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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.