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Finding the Fourth Proportional to 9,490.55, 13,097.09 and 5,241.90

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Solution

The fourth proportional to 9,490.55, 13,097.09 and 5,241.90 is: 7,233.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.55 : 13,097.09 = 5,241.90 : x
  2. Step 2: Convert to fraction form
    9,490.55/13,097.09 = 5,241.90/x
  3. Step 3: Cross multiply
    9,490.55x = 13,097.09 × 5,241.90
  4. Step 4: Simplify right side
    9,490.55x = 68,653,609.86
  5. Step 5: Solve for x
    x = 68,653,609.86/9,490.55
  6. Step 6: Final answer
    x = 7,233.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.