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Finding the Fourth Proportional to 6,184.12, 9,278.52 and 5,496

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Solution

The fourth proportional to 6,184.12, 9,278.52 and 5,496 is: 8,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.12 : 9,278.52 = 5,496 : x
  2. Step 2: Convert to fraction form
    6,184.12/9,278.52 = 5,496/x
  3. Step 3: Cross multiply
    6,184.12x = 9,278.52 × 5,496
  4. Step 4: Simplify right side
    6,184.12x = 50,994,745.92
  5. Step 5: Solve for x
    x = 50,994,745.92/6,184.12
  6. Step 6: Final answer
    x = 8,246.08

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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.