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Finding the Fourth Proportional to 9,467.33, 13,065 and 5,932.61

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Solution

The fourth proportional to 9,467.33, 13,065 and 5,932.61 is: 8,187.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.33 : 13,065 = 5,932.61 : x
  2. Step 2: Convert to fraction form
    9,467.33/13,065 = 5,932.61/x
  3. Step 3: Cross multiply
    9,467.33x = 13,065 × 5,932.61
  4. Step 4: Simplify right side
    9,467.33x = 77,509,549.65
  5. Step 5: Solve for x
    x = 77,509,549.65/9,467.33
  6. Step 6: Final answer
    x = 8,187.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.