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Finding the Fourth Proportional to 9,429.78, 13,013.07 and 5,238.12

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Solution

The fourth proportional to 9,429.78, 13,013.07 and 5,238.12 is: 7,228.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.78 : 13,013.07 = 5,238.12 : x
  2. Step 2: Convert to fraction form
    9,429.78/13,013.07 = 5,238.12/x
  3. Step 3: Cross multiply
    9,429.78x = 13,013.07 × 5,238.12
  4. Step 4: Simplify right side
    9,429.78x = 68,164,022.23
  5. Step 5: Solve for x
    x = 68,164,022.23/9,429.78
  6. Step 6: Final answer
    x = 7,228.59

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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.