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Finding the Fourth Proportional to 9,117.33, 13,676.00 and 2,543.60

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Solution

The fourth proportional to 9,117.33, 13,676.00 and 2,543.60 is: 3,815.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.33 : 13,676.00 = 2,543.60 : x
  2. Step 2: Convert to fraction form
    9,117.33/13,676.00 = 2,543.60/x
  3. Step 3: Cross multiply
    9,117.33x = 13,676.00 × 2,543.60
  4. Step 4: Simplify right side
    9,117.33x = 34,786,192.50
  5. Step 5: Solve for x
    x = 34,786,192.50/9,117.33
  6. Step 6: Final answer
    x = 3,815.39

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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.