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Finding the Fourth Proportional to 9,098.42, 12,556.05 and 5,563.58

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Solution

The fourth proportional to 9,098.42, 12,556.05 and 5,563.58 is: 7,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098.42 : 12,556.05 = 5,563.58 : x
  2. Step 2: Convert to fraction form
    9,098.42/12,556.05 = 5,563.58/x
  3. Step 3: Cross multiply
    9,098.42x = 12,556.05 × 5,563.58
  4. Step 4: Simplify right side
    9,098.42x = 69,856,588.66
  5. Step 5: Solve for x
    x = 69,856,588.66/9,098.42
  6. Step 6: Final answer
    x = 7,677.88

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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.