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Finding the Fourth Proportional to 9,321.98, 12,864.26 and 5,289.58

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Solution

The fourth proportional to 9,321.98, 12,864.26 and 5,289.58 is: 7,299.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.98 : 12,864.26 = 5,289.58 : x
  2. Step 2: Convert to fraction form
    9,321.98/12,864.26 = 5,289.58/x
  3. Step 3: Cross multiply
    9,321.98x = 12,864.26 × 5,289.58
  4. Step 4: Simplify right side
    9,321.98x = 68,046,532.41
  5. Step 5: Solve for x
    x = 68,046,532.41/9,321.98
  6. Step 6: Final answer
    x = 7,299.58

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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.