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Finding the Fourth Proportional to 9,878.95, 13,634.22 and 5,631.54

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Solution

The fourth proportional to 9,878.95, 13,634.22 and 5,631.54 is: 7,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.95 : 13,634.22 = 5,631.54 : x
  2. Step 2: Convert to fraction form
    9,878.95/13,634.22 = 5,631.54/x
  3. Step 3: Cross multiply
    9,878.95x = 13,634.22 × 5,631.54
  4. Step 4: Simplify right side
    9,878.95x = 76,781,655.30
  5. Step 5: Solve for x
    x = 76,781,655.30/9,878.95
  6. Step 6: Final answer
    x = 7,772.25

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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.