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Finding the Fourth Proportional to 7,012.42, 9,677.82 and 3,868.62

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Solution

The fourth proportional to 7,012.42, 9,677.82 and 3,868.62 is: 5,339.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,012.42 : 9,677.82 = 3,868.62 : x
  2. Step 2: Convert to fraction form
    7,012.42/9,677.82 = 3,868.62/x
  3. Step 3: Cross multiply
    7,012.42x = 9,677.82 × 3,868.62
  4. Step 4: Simplify right side
    7,012.42x = 37,439,808.01
  5. Step 5: Solve for x
    x = 37,439,808.01/7,012.42
  6. Step 6: Final answer
    x = 5,339.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.