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Finding the Fourth Proportional to 9,764.41, 13,474.94 and 5,288.17

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Solution

The fourth proportional to 9,764.41, 13,474.94 and 5,288.17 is: 7,297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.41 : 13,474.94 = 5,288.17 : x
  2. Step 2: Convert to fraction form
    9,764.41/13,474.94 = 5,288.17/x
  3. Step 3: Cross multiply
    9,764.41x = 13,474.94 × 5,288.17
  4. Step 4: Simplify right side
    9,764.41x = 71,257,773.46
  5. Step 5: Solve for x
    x = 71,257,773.46/9,764.41
  6. Step 6: Final answer
    x = 7,297.70

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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.