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Finding the Fourth Proportional to 6,451.42, 9,678.49 and 2,071.95

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Solution

The fourth proportional to 6,451.42, 9,678.49 and 2,071.95 is: 3,108.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.42 : 9,678.49 = 2,071.95 : x
  2. Step 2: Convert to fraction form
    6,451.42/9,678.49 = 2,071.95/x
  3. Step 3: Cross multiply
    6,451.42x = 9,678.49 × 2,071.95
  4. Step 4: Simplify right side
    6,451.42x = 20,053,347.36
  5. Step 5: Solve for x
    x = 20,053,347.36/6,451.42
  6. Step 6: Final answer
    x = 3,108.36

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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.