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Finding the Fourth Proportional to 6,507.86, 9,757.82 and 2,554.38

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Solution

The fourth proportional to 6,507.86, 9,757.82 and 2,554.38 is: 3,830.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.86 : 9,757.82 = 2,554.38 : x
  2. Step 2: Convert to fraction form
    6,507.86/9,757.82 = 2,554.38/x
  3. Step 3: Cross multiply
    6,507.86x = 9,757.82 × 2,554.38
  4. Step 4: Simplify right side
    6,507.86x = 24,925,167.48
  5. Step 5: Solve for x
    x = 24,925,167.48/6,507.86
  6. Step 6: Final answer
    x = 3,830.01

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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.