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Finding the Fourth Proportional to 9,583.56, 13,223.05 and 8,056.29

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Solution

The fourth proportional to 9,583.56, 13,223.05 and 8,056.29 is: 11,115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.56 : 13,223.05 = 8,056.29 : x
  2. Step 2: Convert to fraction form
    9,583.56/13,223.05 = 8,056.29/x
  3. Step 3: Cross multiply
    9,583.56x = 13,223.05 × 8,056.29
  4. Step 4: Simplify right side
    9,583.56x = 106,528,690.24
  5. Step 5: Solve for x
    x = 106,528,690.24/9,583.56
  6. Step 6: Final answer
    x = 11,115.78

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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.