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Finding the Fourth Proportional to 9,758.26, 13,466.39 and 5,282

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Solution

The fourth proportional to 9,758.26, 13,466.39 and 5,282 is: 7,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.26 : 13,466.39 = 5,282 : x
  2. Step 2: Convert to fraction form
    9,758.26/13,466.39 = 5,282/x
  3. Step 3: Cross multiply
    9,758.26x = 13,466.39 × 5,282
  4. Step 4: Simplify right side
    9,758.26x = 71,129,471.98
  5. Step 5: Solve for x
    x = 71,129,471.98/9,758.26
  6. Step 6: Final answer
    x = 7,289.16

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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.