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Finding the Fourth Proportional to 9,042.30, 13,546.31 and 5,333.49

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Solution

The fourth proportional to 9,042.30, 13,546.31 and 5,333.49 is: 7,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.30 : 13,546.31 = 5,333.49 : x
  2. Step 2: Convert to fraction form
    9,042.30/13,546.31 = 5,333.49/x
  3. Step 3: Cross multiply
    9,042.30x = 13,546.31 × 5,333.49
  4. Step 4: Simplify right side
    9,042.30x = 72,249,082.25
  5. Step 5: Solve for x
    x = 72,249,082.25/9,042.30
  6. Step 6: Final answer
    x = 7,990.12

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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.