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Finding the Fourth Proportional to 9,588.12, 14,382.06 and 5,233.32

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Solution

The fourth proportional to 9,588.12, 14,382.06 and 5,233.32 is: 7,849.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.12 : 14,382.06 = 5,233.32 : x
  2. Step 2: Convert to fraction form
    9,588.12/14,382.06 = 5,233.32/x
  3. Step 3: Cross multiply
    9,588.12x = 14,382.06 × 5,233.32
  4. Step 4: Simplify right side
    9,588.12x = 75,265,922.24
  5. Step 5: Solve for x
    x = 75,265,922.24/9,588.12
  6. Step 6: Final answer
    x = 7,849.91

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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.