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Finding the Fourth Proportional to 6,938.00, 9,638.63 and 6,873.15

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Solution

The fourth proportional to 6,938.00, 9,638.63 and 6,873.15 is: 9,548.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.00 : 9,638.63 = 6,873.15 : x
  2. Step 2: Convert to fraction form
    6,938.00/9,638.63 = 6,873.15/x
  3. Step 3: Cross multiply
    6,938.00x = 9,638.63 × 6,873.15
  4. Step 4: Simplify right side
    6,938.00x = 66,247,777.34
  5. Step 5: Solve for x
    x = 66,247,777.34/6,938.00
  6. Step 6: Final answer
    x = 9,548.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.