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Finding the Fourth Proportional to 9,638.79, 14,460.31 and 4,096.87

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Solution

The fourth proportional to 9,638.79, 14,460.31 and 4,096.87 is: 6,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.79 : 14,460.31 = 4,096.87 : x
  2. Step 2: Convert to fraction form
    9,638.79/14,460.31 = 4,096.87/x
  3. Step 3: Cross multiply
    9,638.79x = 14,460.31 × 4,096.87
  4. Step 4: Simplify right side
    9,638.79x = 59,242,031.39
  5. Step 5: Solve for x
    x = 59,242,031.39/9,638.79
  6. Step 6: Final answer
    x = 6,146.21

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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.