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Finding the Fourth Proportional to 9,227.64, 12,740.27 and 7,099.41

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Solution

The fourth proportional to 9,227.64, 12,740.27 and 7,099.41 is: 9,801.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.64 : 12,740.27 = 7,099.41 : x
  2. Step 2: Convert to fraction form
    9,227.64/12,740.27 = 7,099.41/x
  3. Step 3: Cross multiply
    9,227.64x = 12,740.27 × 7,099.41
  4. Step 4: Simplify right side
    9,227.64x = 90,448,364.74
  5. Step 5: Solve for x
    x = 90,448,364.74/9,227.64
  6. Step 6: Final answer
    x = 9,801.90

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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.