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Finding the Fourth Proportional to 9,083.50, 12,532.34 and 5,497.31

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Solution

The fourth proportional to 9,083.50, 12,532.34 and 5,497.31 is: 7,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.50 : 12,532.34 = 5,497.31 : x
  2. Step 2: Convert to fraction form
    9,083.50/12,532.34 = 5,497.31/x
  3. Step 3: Cross multiply
    9,083.50x = 12,532.34 × 5,497.31
  4. Step 4: Simplify right side
    9,083.50x = 68,894,182.46
  5. Step 5: Solve for x
    x = 68,894,182.46/9,083.50
  6. Step 6: Final answer
    x = 7,584.54

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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.