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Finding the Fourth Proportional to 9,638.48, 14,465.43 and 9,330.94

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Solution

The fourth proportional to 9,638.48, 14,465.43 and 9,330.94 is: 14,003.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.48 : 14,465.43 = 9,330.94 : x
  2. Step 2: Convert to fraction form
    9,638.48/14,465.43 = 9,330.94/x
  3. Step 3: Cross multiply
    9,638.48x = 14,465.43 × 9,330.94
  4. Step 4: Simplify right side
    9,638.48x = 134,975,940.42
  5. Step 5: Solve for x
    x = 134,975,940.42/9,638.48
  6. Step 6: Final answer
    x = 14,003.86

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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.