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Finding the Fourth Proportional to 9,491.60, 14,237.40 and 5,344.40

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Solution

The fourth proportional to 9,491.60, 14,237.40 and 5,344.40 is: 8,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.60 : 14,237.40 = 5,344.40 : x
  2. Step 2: Convert to fraction form
    9,491.60/14,237.40 = 5,344.40/x
  3. Step 3: Cross multiply
    9,491.60x = 14,237.40 × 5,344.40
  4. Step 4: Simplify right side
    9,491.60x = 76,090,360.56
  5. Step 5: Solve for x
    x = 76,090,360.56/9,491.60
  6. Step 6: Final answer
    x = 8,016.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.