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Finding the Fourth Proportional to 10,297.62, 15,444.06 and 6,138.80

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Solution

The fourth proportional to 10,297.62, 15,444.06 and 6,138.80 is: 9,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,297.62 : 15,444.06 = 6,138.80 : x
  2. Step 2: Convert to fraction form
    10,297.62/15,444.06 = 6,138.80/x
  3. Step 3: Cross multiply
    10,297.62x = 15,444.06 × 6,138.80
  4. Step 4: Simplify right side
    10,297.62x = 94,807,995.53
  5. Step 5: Solve for x
    x = 94,807,995.53/10,297.62
  6. Step 6: Final answer
    x = 9,206.79

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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.