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Finding the Fourth Proportional to 6,503.26, 9,756.33 and 2,554.90

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Solution

The fourth proportional to 6,503.26, 9,756.33 and 2,554.90 is: 3,832.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.26 : 9,756.33 = 2,554.90 : x
  2. Step 2: Convert to fraction form
    6,503.26/9,756.33 = 2,554.90/x
  3. Step 3: Cross multiply
    6,503.26x = 9,756.33 × 2,554.90
  4. Step 4: Simplify right side
    6,503.26x = 24,926,447.52
  5. Step 5: Solve for x
    x = 24,926,447.52/6,503.26
  6. Step 6: Final answer
    x = 3,832.92

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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.