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Finding the Fourth Proportional to 9,193.48, 12,678.18 and 6,175.42

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Solution

The fourth proportional to 9,193.48, 12,678.18 and 6,175.42 is: 8,516.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.48 : 12,678.18 = 6,175.42 : x
  2. Step 2: Convert to fraction form
    9,193.48/12,678.18 = 6,175.42/x
  3. Step 3: Cross multiply
    9,193.48x = 12,678.18 × 6,175.42
  4. Step 4: Simplify right side
    9,193.48x = 78,293,086.34
  5. Step 5: Solve for x
    x = 78,293,086.34/9,193.48
  6. Step 6: Final answer
    x = 8,516.15

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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.