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Finding the Fourth Proportional to 6,238.91, 9,301.60 and 5,537.70

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Solution

The fourth proportional to 6,238.91, 9,301.60 and 5,537.70 is: 8,256.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.91 : 9,301.60 = 5,537.70 : x
  2. Step 2: Convert to fraction form
    6,238.91/9,301.60 = 5,537.70/x
  3. Step 3: Cross multiply
    6,238.91x = 9,301.60 × 5,537.70
  4. Step 4: Simplify right side
    6,238.91x = 51,509,477.24
  5. Step 5: Solve for x
    x = 51,509,477.24/6,238.91
  6. Step 6: Final answer
    x = 8,256.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.