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Finding the Fourth Proportional to 9,097.63, 13,645.81 and 3,549.94

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Solution

The fourth proportional to 9,097.63, 13,645.81 and 3,549.94 is: 5,324.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.63 : 13,645.81 = 3,549.94 : x
  2. Step 2: Convert to fraction form
    9,097.63/13,645.81 = 3,549.94/x
  3. Step 3: Cross multiply
    9,097.63x = 13,645.81 × 3,549.94
  4. Step 4: Simplify right side
    9,097.63x = 48,441,806.75
  5. Step 5: Solve for x
    x = 48,441,806.75/9,097.63
  6. Step 6: Final answer
    x = 5,324.66

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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.