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Finding the Fourth Proportional to 9,374.78, 12,937.14 and 5,183

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Solution

The fourth proportional to 9,374.78, 12,937.14 and 5,183 is: 7,152.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.78 : 12,937.14 = 5,183 : x
  2. Step 2: Convert to fraction form
    9,374.78/12,937.14 = 5,183/x
  3. Step 3: Cross multiply
    9,374.78x = 12,937.14 × 5,183
  4. Step 4: Simplify right side
    9,374.78x = 67,053,196.62
  5. Step 5: Solve for x
    x = 67,053,196.62/9,374.78
  6. Step 6: Final answer
    x = 7,152.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.