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Finding the Fourth Proportional to 9,727.64, 14,563.91 and 7,561.70

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Solution

The fourth proportional to 9,727.64, 14,563.91 and 7,561.70 is: 11,321.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.64 : 14,563.91 = 7,561.70 : x
  2. Step 2: Convert to fraction form
    9,727.64/14,563.91 = 7,561.70/x
  3. Step 3: Cross multiply
    9,727.64x = 14,563.91 × 7,561.70
  4. Step 4: Simplify right side
    9,727.64x = 110,127,864.33
  5. Step 5: Solve for x
    x = 110,127,864.33/9,727.64
  6. Step 6: Final answer
    x = 11,321.13

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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.