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Finding the Fourth Proportional to 6,209.19, 9,297.15 and 5,225.04

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Solution

The fourth proportional to 6,209.19, 9,297.15 and 5,225.04 is: 7,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.19 : 9,297.15 = 5,225.04 : x
  2. Step 2: Convert to fraction form
    6,209.19/9,297.15 = 5,225.04/x
  3. Step 3: Cross multiply
    6,209.19x = 9,297.15 × 5,225.04
  4. Step 4: Simplify right side
    6,209.19x = 48,577,961.04
  5. Step 5: Solve for x
    x = 48,577,961.04/6,209.19
  6. Step 6: Final answer
    x = 7,823.56

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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.