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Finding the Fourth Proportional to 6,595.78, 9,889.20 and 3,472.46

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Solution

The fourth proportional to 6,595.78, 9,889.20 and 3,472.46 is: 5,206.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.78 : 9,889.20 = 3,472.46 : x
  2. Step 2: Convert to fraction form
    6,595.78/9,889.20 = 3,472.46/x
  3. Step 3: Cross multiply
    6,595.78x = 9,889.20 × 3,472.46
  4. Step 4: Simplify right side
    6,595.78x = 34,339,851.43
  5. Step 5: Solve for x
    x = 34,339,851.43/6,595.78
  6. Step 6: Final answer
    x = 5,206.34

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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.