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Finding the Fourth Proportional to 6,595.86, 9,102.25 and 3,611.64

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Solution

The fourth proportional to 6,595.86, 9,102.25 and 3,611.64 is: 4,984.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.86 : 9,102.25 = 3,611.64 : x
  2. Step 2: Convert to fraction form
    6,595.86/9,102.25 = 3,611.64/x
  3. Step 3: Cross multiply
    6,595.86x = 9,102.25 × 3,611.64
  4. Step 4: Simplify right side
    6,595.86x = 32,874,050.19
  5. Step 5: Solve for x
    x = 32,874,050.19/6,595.86
  6. Step 6: Final answer
    x = 4,984.04

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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.