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Finding the Fourth Proportional to 9,133.49, 13,689.23 and 4,446.48

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Solution

The fourth proportional to 9,133.49, 13,689.23 and 4,446.48 is: 6,664.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.49 : 13,689.23 = 4,446.48 : x
  2. Step 2: Convert to fraction form
    9,133.49/13,689.23 = 4,446.48/x
  3. Step 3: Cross multiply
    9,133.49x = 13,689.23 × 4,446.48
  4. Step 4: Simplify right side
    9,133.49x = 60,868,865.18
  5. Step 5: Solve for x
    x = 60,868,865.18/9,133.49
  6. Step 6: Final answer
    x = 6,664.36

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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.