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Finding the Fourth Proportional to 9,559.47, 13,193.24 and 6,022.62

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Solution

The fourth proportional to 9,559.47, 13,193.24 and 6,022.62 is: 8,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.47 : 13,193.24 = 6,022.62 : x
  2. Step 2: Convert to fraction form
    9,559.47/13,193.24 = 6,022.62/x
  3. Step 3: Cross multiply
    9,559.47x = 13,193.24 × 6,022.62
  4. Step 4: Simplify right side
    9,559.47x = 79,457,840.98
  5. Step 5: Solve for x
    x = 79,457,840.98/9,559.47
  6. Step 6: Final answer
    x = 8,311.95

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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.