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Finding the Fourth Proportional to 6,007.70, 9,006.33 and 2,886.14

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Solution

The fourth proportional to 6,007.70, 9,006.33 and 2,886.14 is: 4,326.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.70 : 9,006.33 = 2,886.14 : x
  2. Step 2: Convert to fraction form
    6,007.70/9,006.33 = 2,886.14/x
  3. Step 3: Cross multiply
    6,007.70x = 9,006.33 × 2,886.14
  4. Step 4: Simplify right side
    6,007.70x = 25,993,529.27
  5. Step 5: Solve for x
    x = 25,993,529.27/6,007.70
  6. Step 6: Final answer
    x = 4,326.70

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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.