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Finding the Fourth Proportional to 9,097.41, 13,643.20 and 3,549.40

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Solution

The fourth proportional to 9,097.41, 13,643.20 and 3,549.40 is: 5,322.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.41 : 13,643.20 = 3,549.40 : x
  2. Step 2: Convert to fraction form
    9,097.41/13,643.20 = 3,549.40/x
  3. Step 3: Cross multiply
    9,097.41x = 13,643.20 × 3,549.40
  4. Step 4: Simplify right side
    9,097.41x = 48,425,174.08
  5. Step 5: Solve for x
    x = 48,425,174.08/9,097.41
  6. Step 6: Final answer
    x = 5,322.96

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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.