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Finding the Fourth Proportional to 9,238.13, 12,748.93 and 5,046.65

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Solution

The fourth proportional to 9,238.13, 12,748.93 and 5,046.65 is: 6,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.13 : 12,748.93 = 5,046.65 : x
  2. Step 2: Convert to fraction form
    9,238.13/12,748.93 = 5,046.65/x
  3. Step 3: Cross multiply
    9,238.13x = 12,748.93 × 5,046.65
  4. Step 4: Simplify right side
    9,238.13x = 64,339,323.84
  5. Step 5: Solve for x
    x = 64,339,323.84/9,238.13
  6. Step 6: Final answer
    x = 6,964.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.