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Finding the Fourth Proportional to 9,559.46, 13,192.21 and 5,310.80

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Solution

The fourth proportional to 9,559.46, 13,192.21 and 5,310.80 is: 7,328.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.46 : 13,192.21 = 5,310.80 : x
  2. Step 2: Convert to fraction form
    9,559.46/13,192.21 = 5,310.80/x
  3. Step 3: Cross multiply
    9,559.46x = 13,192.21 × 5,310.80
  4. Step 4: Simplify right side
    9,559.46x = 70,061,122.91
  5. Step 5: Solve for x
    x = 70,061,122.91/9,559.46
  6. Step 6: Final answer
    x = 7,328.98

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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.