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Finding the Fourth Proportional to 9,762.44, 13,473.78 and 6,616.52

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Solution

The fourth proportional to 9,762.44, 13,473.78 and 6,616.52 is: 9,131.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.44 : 13,473.78 = 6,616.52 : x
  2. Step 2: Convert to fraction form
    9,762.44/13,473.78 = 6,616.52/x
  3. Step 3: Cross multiply
    9,762.44x = 13,473.78 × 6,616.52
  4. Step 4: Simplify right side
    9,762.44x = 89,149,534.85
  5. Step 5: Solve for x
    x = 89,149,534.85/9,762.44
  6. Step 6: Final answer
    x = 9,131.89

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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.