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Finding the Fourth Proportional to 9,886.76, 13,645.26 and 5,637.82

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Solution

The fourth proportional to 9,886.76, 13,645.26 and 5,637.82 is: 7,781.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,886.76 : 13,645.26 = 5,637.82 : x
  2. Step 2: Convert to fraction form
    9,886.76/13,645.26 = 5,637.82/x
  3. Step 3: Cross multiply
    9,886.76x = 13,645.26 × 5,637.82
  4. Step 4: Simplify right side
    9,886.76x = 76,929,519.73
  5. Step 5: Solve for x
    x = 76,929,519.73/9,886.76
  6. Step 6: Final answer
    x = 7,781.06

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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.