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Finding the Fourth Proportional to 9,306.42, 13,946.82 and 6,178.14

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Solution

The fourth proportional to 9,306.42, 13,946.82 and 6,178.14 is: 9,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.42 : 13,946.82 = 6,178.14 : x
  2. Step 2: Convert to fraction form
    9,306.42/13,946.82 = 6,178.14/x
  3. Step 3: Cross multiply
    9,306.42x = 13,946.82 × 6,178.14
  4. Step 4: Simplify right side
    9,306.42x = 86,165,406.51
  5. Step 5: Solve for x
    x = 86,165,406.51/9,306.42
  6. Step 6: Final answer
    x = 9,258.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.