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Finding the Fourth Proportional to 9,097.84, 13,637.65 and 3,834.12

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Solution

The fourth proportional to 9,097.84, 13,637.65 and 3,834.12 is: 5,747.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.84 : 13,637.65 = 3,834.12 : x
  2. Step 2: Convert to fraction form
    9,097.84/13,637.65 = 3,834.12/x
  3. Step 3: Cross multiply
    9,097.84x = 13,637.65 × 3,834.12
  4. Step 4: Simplify right side
    9,097.84x = 52,288,386.62
  5. Step 5: Solve for x
    x = 52,288,386.62/9,097.84
  6. Step 6: Final answer
    x = 5,747.34

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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.