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Finding the Fourth Proportional to 9,638.92, 14,418.40 and 9,048.43

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Solution

The fourth proportional to 9,638.92, 14,418.40 and 9,048.43 is: 13,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.92 : 14,418.40 = 9,048.43 : x
  2. Step 2: Convert to fraction form
    9,638.92/14,418.40 = 9,048.43/x
  3. Step 3: Cross multiply
    9,638.92x = 14,418.40 × 9,048.43
  4. Step 4: Simplify right side
    9,638.92x = 130,463,809.80
  5. Step 5: Solve for x
    x = 130,463,809.80/9,638.92
  6. Step 6: Final answer
    x = 13,535.11

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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.