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Finding the Fourth Proportional to 7,011.93, 9,676.46 and 3,868.12

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Solution

The fourth proportional to 7,011.93, 9,676.46 and 3,868.12 is: 5,338.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,011.93 : 9,676.46 = 3,868.12 : x
  2. Step 2: Convert to fraction form
    7,011.93/9,676.46 = 3,868.12/x
  3. Step 3: Cross multiply
    7,011.93x = 9,676.46 × 3,868.12
  4. Step 4: Simplify right side
    7,011.93x = 37,429,708.46
  5. Step 5: Solve for x
    x = 37,429,708.46/7,011.93
  6. Step 6: Final answer
    x = 5,338.00

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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.