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Finding the Fourth Proportional to 9,586.56, 14,382.27 and 5,202.84

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Solution

The fourth proportional to 9,586.56, 14,382.27 and 5,202.84 is: 7,805.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.56 : 14,382.27 = 5,202.84 : x
  2. Step 2: Convert to fraction form
    9,586.56/14,382.27 = 5,202.84/x
  3. Step 3: Cross multiply
    9,586.56x = 14,382.27 × 5,202.84
  4. Step 4: Simplify right side
    9,586.56x = 74,828,649.65
  5. Step 5: Solve for x
    x = 74,828,649.65/9,586.56
  6. Step 6: Final answer
    x = 7,805.58

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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.