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Finding the Fourth Proportional to 9,843.66, 14,753.01 and 9,739.50

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Solution

The fourth proportional to 9,843.66, 14,753.01 and 9,739.50 is: 14,596.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.66 : 14,753.01 = 9,739.50 : x
  2. Step 2: Convert to fraction form
    9,843.66/14,753.01 = 9,739.50/x
  3. Step 3: Cross multiply
    9,843.66x = 14,753.01 × 9,739.50
  4. Step 4: Simplify right side
    9,843.66x = 143,686,940.90
  5. Step 5: Solve for x
    x = 143,686,940.90/9,843.66
  6. Step 6: Final answer
    x = 14,596.90

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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.