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Finding the Fourth Proportional to 9,876.90, 13,630.14 and 5,627.78

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Solution

The fourth proportional to 9,876.90, 13,630.14 and 5,627.78 is: 7,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.90 : 13,630.14 = 5,627.78 : x
  2. Step 2: Convert to fraction form
    9,876.90/13,630.14 = 5,627.78/x
  3. Step 3: Cross multiply
    9,876.90x = 13,630.14 × 5,627.78
  4. Step 4: Simplify right side
    9,876.90x = 76,707,412.25
  5. Step 5: Solve for x
    x = 76,707,412.25/9,876.90
  6. Step 6: Final answer
    x = 7,766.34

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