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Finding the Fourth Proportional to 6,595.68, 9,886.40 and 3,302.24

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Solution

The fourth proportional to 6,595.68, 9,886.40 and 3,302.24 is: 4,949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.68 : 9,886.40 = 3,302.24 : x
  2. Step 2: Convert to fraction form
    6,595.68/9,886.40 = 3,302.24/x
  3. Step 3: Cross multiply
    6,595.68x = 9,886.40 × 3,302.24
  4. Step 4: Simplify right side
    6,595.68x = 32,647,265.54
  5. Step 5: Solve for x
    x = 32,647,265.54/6,595.68
  6. Step 6: Final answer
    x = 4,949.80

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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.