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Finding the Fourth Proportional to 9,097.40, 13,646.24 and 2,857.16

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Solution

The fourth proportional to 9,097.40, 13,646.24 and 2,857.16 is: 4,285.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.40 : 13,646.24 = 2,857.16 : x
  2. Step 2: Convert to fraction form
    9,097.40/13,646.24 = 2,857.16/x
  3. Step 3: Cross multiply
    9,097.40x = 13,646.24 × 2,857.16
  4. Step 4: Simplify right side
    9,097.40x = 38,989,408.56
  5. Step 5: Solve for x
    x = 38,989,408.56/9,097.40
  6. Step 6: Final answer
    x = 4,285.78

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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.