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Finding the Fourth Proportional to 9,288.54, 13,934.16 and 4,904.82

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Solution

The fourth proportional to 9,288.54, 13,934.16 and 4,904.82 is: 7,357.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.54 : 13,934.16 = 4,904.82 : x
  2. Step 2: Convert to fraction form
    9,288.54/13,934.16 = 4,904.82/x
  3. Step 3: Cross multiply
    9,288.54x = 13,934.16 × 4,904.82
  4. Step 4: Simplify right side
    9,288.54x = 68,344,546.65
  5. Step 5: Solve for x
    x = 68,344,546.65/9,288.54
  6. Step 6: Final answer
    x = 7,357.94

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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.