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Finding the Fourth Proportional to 9,306.14, 13,940.45 and 4,301.45

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Solution

The fourth proportional to 9,306.14, 13,940.45 and 4,301.45 is: 6,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.14 : 13,940.45 = 4,301.45 : x
  2. Step 2: Convert to fraction form
    9,306.14/13,940.45 = 4,301.45/x
  3. Step 3: Cross multiply
    9,306.14x = 13,940.45 × 4,301.45
  4. Step 4: Simplify right side
    9,306.14x = 59,964,228.46
  5. Step 5: Solve for x
    x = 59,964,228.46/9,306.14
  6. Step 6: Final answer
    x = 6,443.51

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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.