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Finding the Fourth Proportional to 9,559.68, 14,311.80 and 6,224.33

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Solution

The fourth proportional to 9,559.68, 14,311.80 and 6,224.33 is: 9,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.68 : 14,311.80 = 6,224.33 : x
  2. Step 2: Convert to fraction form
    9,559.68/14,311.80 = 6,224.33/x
  3. Step 3: Cross multiply
    9,559.68x = 14,311.80 × 6,224.33
  4. Step 4: Simplify right side
    9,559.68x = 89,081,366.09
  5. Step 5: Solve for x
    x = 89,081,366.09/9,559.68
  6. Step 6: Final answer
    x = 9,318.45

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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.