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Finding the Fourth Proportional to 9,301.62, 13,960.12 and 9,228.72

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Solution

The fourth proportional to 9,301.62, 13,960.12 and 9,228.72 is: 13,850.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.62 : 13,960.12 = 9,228.72 : x
  2. Step 2: Convert to fraction form
    9,301.62/13,960.12 = 9,228.72/x
  3. Step 3: Cross multiply
    9,301.62x = 13,960.12 × 9,228.72
  4. Step 4: Simplify right side
    9,301.62x = 128,834,038.65
  5. Step 5: Solve for x
    x = 128,834,038.65/9,301.62
  6. Step 6: Final answer
    x = 13,850.71

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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.