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Finding the Fourth Proportional to 9,117.78, 13,676.61 and 2,544

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Solution

The fourth proportional to 9,117.78, 13,676.61 and 2,544 is: 3,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.78 : 13,676.61 = 2,544 : x
  2. Step 2: Convert to fraction form
    9,117.78/13,676.61 = 2,544/x
  3. Step 3: Cross multiply
    9,117.78x = 13,676.61 × 2,544
  4. Step 4: Simplify right side
    9,117.78x = 34,793,295.84
  5. Step 5: Solve for x
    x = 34,793,295.84/9,117.78
  6. Step 6: Final answer
    x = 3,815.98

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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.