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Finding the Fourth Proportional to 9,583.56, 13,225.41 and 5,391

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Solution

The fourth proportional to 9,583.56, 13,225.41 and 5,391 is: 7,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.56 : 13,225.41 = 5,391 : x
  2. Step 2: Convert to fraction form
    9,583.56/13,225.41 = 5,391/x
  3. Step 3: Cross multiply
    9,583.56x = 13,225.41 × 5,391
  4. Step 4: Simplify right side
    9,583.56x = 71,298,185.31
  5. Step 5: Solve for x
    x = 71,298,185.31/9,583.56
  6. Step 6: Final answer
    x = 7,439.63

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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.