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Finding the Fourth Proportional to 9,348.16, 14,022.40 and 2,422.40

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Solution

The fourth proportional to 9,348.16, 14,022.40 and 2,422.40 is: 3,633.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.16 : 14,022.40 = 2,422.40 : x
  2. Step 2: Convert to fraction form
    9,348.16/14,022.40 = 2,422.40/x
  3. Step 3: Cross multiply
    9,348.16x = 14,022.40 × 2,422.40
  4. Step 4: Simplify right side
    9,348.16x = 33,967,861.76
  5. Step 5: Solve for x
    x = 33,967,861.76/9,348.16
  6. Step 6: Final answer
    x = 3,633.64

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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.