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Finding the Fourth Proportional to 9,183.34, 13,772.58 and 3,988

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Solution

The fourth proportional to 9,183.34, 13,772.58 and 3,988 is: 5,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.34 : 13,772.58 = 3,988 : x
  2. Step 2: Convert to fraction form
    9,183.34/13,772.58 = 3,988/x
  3. Step 3: Cross multiply
    9,183.34x = 13,772.58 × 3,988
  4. Step 4: Simplify right side
    9,183.34x = 54,925,049.04
  5. Step 5: Solve for x
    x = 54,925,049.04/9,183.34
  6. Step 6: Final answer
    x = 5,980.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.