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Finding the Fourth Proportional to 9,117.69, 13,676.34 and 2,543.70

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Solution

The fourth proportional to 9,117.69, 13,676.34 and 2,543.70 is: 3,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,117.69 : 13,676.34 = 2,543.70 : x
  2. Step 2: Convert to fraction form
    9,117.69/13,676.34 = 2,543.70/x
  3. Step 3: Cross multiply
    9,117.69x = 13,676.34 × 2,543.70
  4. Step 4: Simplify right side
    9,117.69x = 34,788,506.06
  5. Step 5: Solve for x
    x = 34,788,506.06/9,117.69
  6. Step 6: Final answer
    x = 3,815.50

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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.