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Finding the Fourth Proportional to 9,175.77, 12,666.44 and 6,195.64

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Solution

The fourth proportional to 9,175.77, 12,666.44 and 6,195.64 is: 8,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.77 : 12,666.44 = 6,195.64 : x
  2. Step 2: Convert to fraction form
    9,175.77/12,666.44 = 6,195.64/x
  3. Step 3: Cross multiply
    9,175.77x = 12,666.44 × 6,195.64
  4. Step 4: Simplify right side
    9,175.77x = 78,476,702.32
  5. Step 5: Solve for x
    x = 78,476,702.32/9,175.77
  6. Step 6: Final answer
    x = 8,552.60

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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.