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Finding the Fourth Proportional to 9,175.65, 12,655.35 and 6,186.75

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Solution

The fourth proportional to 9,175.65, 12,655.35 and 6,186.75 is: 8,532.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.65 : 12,655.35 = 6,186.75 : x
  2. Step 2: Convert to fraction form
    9,175.65/12,655.35 = 6,186.75/x
  3. Step 3: Cross multiply
    9,175.65x = 12,655.35 × 6,186.75
  4. Step 4: Simplify right side
    9,175.65x = 78,295,486.61
  5. Step 5: Solve for x
    x = 78,295,486.61/9,175.65
  6. Step 6: Final answer
    x = 8,532.96

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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.