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Finding the Fourth Proportional to 9,175.95, 12,658.68 and 5,637.87

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Solution

The fourth proportional to 9,175.95, 12,658.68 and 5,637.87 is: 7,777.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.95 : 12,658.68 = 5,637.87 : x
  2. Step 2: Convert to fraction form
    9,175.95/12,658.68 = 5,637.87/x
  3. Step 3: Cross multiply
    9,175.95x = 12,658.68 × 5,637.87
  4. Step 4: Simplify right side
    9,175.95x = 71,367,992.21
  5. Step 5: Solve for x
    x = 71,367,992.21/9,175.95
  6. Step 6: Final answer
    x = 7,777.72

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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.