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Finding the Fourth Proportional to 9,243.72, 12,758.28 and 5,417.85

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Solution

The fourth proportional to 9,243.72, 12,758.28 and 5,417.85 is: 7,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.72 : 12,758.28 = 5,417.85 : x
  2. Step 2: Convert to fraction form
    9,243.72/12,758.28 = 5,417.85/x
  3. Step 3: Cross multiply
    9,243.72x = 12,758.28 × 5,417.85
  4. Step 4: Simplify right side
    9,243.72x = 69,122,474.82
  5. Step 5: Solve for x
    x = 69,122,474.82/9,243.72
  6. Step 6: Final answer
    x = 7,477.78

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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.