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Finding the Fourth Proportional to 9,434.78, 13,019.64 and 5,243.30

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Solution

The fourth proportional to 9,434.78, 13,019.64 and 5,243.30 is: 7,235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.78 : 13,019.64 = 5,243.30 : x
  2. Step 2: Convert to fraction form
    9,434.78/13,019.64 = 5,243.30/x
  3. Step 3: Cross multiply
    9,434.78x = 13,019.64 × 5,243.30
  4. Step 4: Simplify right side
    9,434.78x = 68,265,878.41
  5. Step 5: Solve for x
    x = 68,265,878.41/9,434.78
  6. Step 6: Final answer
    x = 7,235.56

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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.