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Finding the Fourth Proportional to 9,097.14, 13,645.71 and 3,253.40

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Solution

The fourth proportional to 9,097.14, 13,645.71 and 3,253.40 is: 4,880.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.14 : 13,645.71 = 3,253.40 : x
  2. Step 2: Convert to fraction form
    9,097.14/13,645.71 = 3,253.40/x
  3. Step 3: Cross multiply
    9,097.14x = 13,645.71 × 3,253.40
  4. Step 4: Simplify right side
    9,097.14x = 44,394,952.91
  5. Step 5: Solve for x
    x = 44,394,952.91/9,097.14
  6. Step 6: Final answer
    x = 4,880.10

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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.