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Finding the Fourth Proportional to 9,374.78, 14,062.16 and 3,830.73

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Solution

The fourth proportional to 9,374.78, 14,062.16 and 3,830.73 is: 5,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.78 : 14,062.16 = 3,830.73 : x
  2. Step 2: Convert to fraction form
    9,374.78/14,062.16 = 3,830.73/x
  3. Step 3: Cross multiply
    9,374.78x = 14,062.16 × 3,830.73
  4. Step 4: Simplify right side
    9,374.78x = 53,868,338.18
  5. Step 5: Solve for x
    x = 53,868,338.18/9,374.78
  6. Step 6: Final answer
    x = 5,746.09

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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.