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Finding the Fourth Proportional to 6,501.48, 9,757.69 and 6,091.42

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Solution

The fourth proportional to 6,501.48, 9,757.69 and 6,091.42 is: 9,142.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.48 : 9,757.69 = 6,091.42 : x
  2. Step 2: Convert to fraction form
    6,501.48/9,757.69 = 6,091.42/x
  3. Step 3: Cross multiply
    6,501.48x = 9,757.69 × 6,091.42
  4. Step 4: Simplify right side
    6,501.48x = 59,438,188.02
  5. Step 5: Solve for x
    x = 59,438,188.02/6,501.48
  6. Step 6: Final answer
    x = 9,142.25

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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.