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Finding the Fourth Proportional to 6,595.74, 9,102.11 and 3,611.57

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Solution

The fourth proportional to 6,595.74, 9,102.11 and 3,611.57 is: 4,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.74 : 9,102.11 = 3,611.57 : x
  2. Step 2: Convert to fraction form
    6,595.74/9,102.11 = 3,611.57/x
  3. Step 3: Cross multiply
    6,595.74x = 9,102.11 × 3,611.57
  4. Step 4: Simplify right side
    6,595.74x = 32,872,843.84
  5. Step 5: Solve for x
    x = 32,872,843.84/6,595.74
  6. Step 6: Final answer
    x = 4,983.95

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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.