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Finding the Fourth Proportional to 9,156.44, 12,637.68 and 5,973.68

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Solution

The fourth proportional to 9,156.44, 12,637.68 and 5,973.68 is: 8,244.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,156.44 : 12,637.68 = 5,973.68 : x
  2. Step 2: Convert to fraction form
    9,156.44/12,637.68 = 5,973.68/x
  3. Step 3: Cross multiply
    9,156.44x = 12,637.68 × 5,973.68
  4. Step 4: Simplify right side
    9,156.44x = 75,493,456.26
  5. Step 5: Solve for x
    x = 75,493,456.26/9,156.44
  6. Step 6: Final answer
    x = 8,244.85

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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.