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Finding the Fourth Proportional to 9,638.47, 14,463.17 and 4,444.34

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Solution

The fourth proportional to 9,638.47, 14,463.17 and 4,444.34 is: 6,669.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.47 : 14,463.17 = 4,444.34 : x
  2. Step 2: Convert to fraction form
    9,638.47/14,463.17 = 4,444.34/x
  3. Step 3: Cross multiply
    9,638.47x = 14,463.17 × 4,444.34
  4. Step 4: Simplify right side
    9,638.47x = 64,279,244.96
  5. Step 5: Solve for x
    x = 64,279,244.96/9,638.47
  6. Step 6: Final answer
    x = 6,669.03

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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.