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Finding the Fourth Proportional to 9,233.88, 13,847.18 and 5,341.02

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Solution

The fourth proportional to 9,233.88, 13,847.18 and 5,341.02 is: 8,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.88 : 13,847.18 = 5,341.02 : x
  2. Step 2: Convert to fraction form
    9,233.88/13,847.18 = 5,341.02/x
  3. Step 3: Cross multiply
    9,233.88x = 13,847.18 × 5,341.02
  4. Step 4: Simplify right side
    9,233.88x = 73,958,038.62
  5. Step 5: Solve for x
    x = 73,958,038.62/9,233.88
  6. Step 6: Final answer
    x = 8,009.42

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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.