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Finding the Fourth Proportional to 9,491.40, 13,009.05 and 9,426.60

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Solution

The fourth proportional to 9,491.40, 13,009.05 and 9,426.60 is: 12,920.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.40 : 13,009.05 = 9,426.60 : x
  2. Step 2: Convert to fraction form
    9,491.40/13,009.05 = 9,426.60/x
  3. Step 3: Cross multiply
    9,491.40x = 13,009.05 × 9,426.60
  4. Step 4: Simplify right side
    9,491.40x = 122,631,110.73
  5. Step 5: Solve for x
    x = 122,631,110.73/9,491.40
  6. Step 6: Final answer
    x = 12,920.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.