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Finding the Fourth Proportional to 9,162.34, 13,738.50 and 3,612.82

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Solution

The fourth proportional to 9,162.34, 13,738.50 and 3,612.82 is: 5,417.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.34 : 13,738.50 = 3,612.82 : x
  2. Step 2: Convert to fraction form
    9,162.34/13,738.50 = 3,612.82/x
  3. Step 3: Cross multiply
    9,162.34x = 13,738.50 × 3,612.82
  4. Step 4: Simplify right side
    9,162.34x = 49,634,727.57
  5. Step 5: Solve for x
    x = 49,634,727.57/9,162.34
  6. Step 6: Final answer
    x = 5,417.25

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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.