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Finding the Fourth Proportional to 9,986.82, 14,966.87 and 4,723.23

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Solution

The fourth proportional to 9,986.82, 14,966.87 and 4,723.23 is: 7,078.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,986.82 : 14,966.87 = 4,723.23 : x
  2. Step 2: Convert to fraction form
    9,986.82/14,966.87 = 4,723.23/x
  3. Step 3: Cross multiply
    9,986.82x = 14,966.87 × 4,723.23
  4. Step 4: Simplify right side
    9,986.82x = 70,691,945.77
  5. Step 5: Solve for x
    x = 70,691,945.77/9,986.82
  6. Step 6: Final answer
    x = 7,078.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.