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Finding the Fourth Proportional to 9,239.16, 13,863.63 and 5,346.30

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Solution

The fourth proportional to 9,239.16, 13,863.63 and 5,346.30 is: 8,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.16 : 13,863.63 = 5,346.30 : x
  2. Step 2: Convert to fraction form
    9,239.16/13,863.63 = 5,346.30/x
  3. Step 3: Cross multiply
    9,239.16x = 13,863.63 × 5,346.30
  4. Step 4: Simplify right side
    9,239.16x = 74,119,125.07
  5. Step 5: Solve for x
    x = 74,119,125.07/9,239.16
  6. Step 6: Final answer
    x = 8,022.28

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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.