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Finding the Fourth Proportional to 9,588.44, 14,382.66 and 5,700.44

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Solution

The fourth proportional to 9,588.44, 14,382.66 and 5,700.44 is: 8,550.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.44 : 14,382.66 = 5,700.44 : x
  2. Step 2: Convert to fraction form
    9,588.44/14,382.66 = 5,700.44/x
  3. Step 3: Cross multiply
    9,588.44x = 14,382.66 × 5,700.44
  4. Step 4: Simplify right side
    9,588.44x = 81,987,490.37
  5. Step 5: Solve for x
    x = 81,987,490.37/9,588.44
  6. Step 6: Final answer
    x = 8,550.66

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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.