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Finding the Fourth Proportional to 9,494.04, 14,219.82 and 5,486.52

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Solution

The fourth proportional to 9,494.04, 14,219.82 and 5,486.52 is: 8,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.04 : 14,219.82 = 5,486.52 : x
  2. Step 2: Convert to fraction form
    9,494.04/14,219.82 = 5,486.52/x
  3. Step 3: Cross multiply
    9,494.04x = 14,219.82 × 5,486.52
  4. Step 4: Simplify right side
    9,494.04x = 78,017,326.83
  5. Step 5: Solve for x
    x = 78,017,326.83/9,494.04
  6. Step 6: Final answer
    x = 8,217.51

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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.