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Finding the Fourth Proportional to 9,757.99, 13,466.04 and 5,281.75

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Solution

The fourth proportional to 9,757.99, 13,466.04 and 5,281.75 is: 7,288.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.99 : 13,466.04 = 5,281.75 : x
  2. Step 2: Convert to fraction form
    9,757.99/13,466.04 = 5,281.75/x
  3. Step 3: Cross multiply
    9,757.99x = 13,466.04 × 5,281.75
  4. Step 4: Simplify right side
    9,757.99x = 71,124,256.77
  5. Step 5: Solve for x
    x = 71,124,256.77/9,757.99
  6. Step 6: Final answer
    x = 7,288.82

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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.