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Finding the Fourth Proportional to 35,715.44, 53,568.60 and 9,422.16

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Solution

The fourth proportional to 35,715.44, 53,568.60 and 9,422.16 is: 14,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,715.44 : 53,568.60 = 9,422.16 : x
  2. Step 2: Convert to fraction form
    35,715.44/53,568.60 = 9,422.16/x
  3. Step 3: Cross multiply
    35,715.44x = 53,568.60 × 9,422.16
  4. Step 4: Simplify right side
    35,715.44x = 504,731,920.18
  5. Step 5: Solve for x
    x = 504,731,920.18/35,715.44
  6. Step 6: Final answer
    x = 14,132.04

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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.