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Finding the Fourth Proportional to 9,758.59, 13,466.84 and 5,282.34

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Solution

The fourth proportional to 9,758.59, 13,466.84 and 5,282.34 is: 7,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.59 : 13,466.84 = 5,282.34 : x
  2. Step 2: Convert to fraction form
    9,758.59/13,466.84 = 5,282.34/x
  3. Step 3: Cross multiply
    9,758.59x = 13,466.84 × 5,282.34
  4. Step 4: Simplify right side
    9,758.59x = 71,136,350.69
  5. Step 5: Solve for x
    x = 71,136,350.69/9,758.59
  6. Step 6: Final answer
    x = 7,289.62

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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.