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Finding the Fourth Proportional to 9,758.70, 14,609.70 and 7,304.40

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Solution

The fourth proportional to 9,758.70, 14,609.70 and 7,304.40 is: 10,935.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.70 : 14,609.70 = 7,304.40 : x
  2. Step 2: Convert to fraction form
    9,758.70/14,609.70 = 7,304.40/x
  3. Step 3: Cross multiply
    9,758.70x = 14,609.70 × 7,304.40
  4. Step 4: Simplify right side
    9,758.70x = 106,715,092.68
  5. Step 5: Solve for x
    x = 106,715,092.68/9,758.70
  6. Step 6: Final answer
    x = 10,935.38

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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.