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Finding the Fourth Proportional to 6,505.62, 9,752.94 and 2,554.67

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Solution

The fourth proportional to 6,505.62, 9,752.94 and 2,554.67 is: 3,829.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.62 : 9,752.94 = 2,554.67 : x
  2. Step 2: Convert to fraction form
    6,505.62/9,752.94 = 2,554.67/x
  3. Step 3: Cross multiply
    6,505.62x = 9,752.94 × 2,554.67
  4. Step 4: Simplify right side
    6,505.62x = 24,915,567.61
  5. Step 5: Solve for x
    x = 24,915,567.61/6,505.62
  6. Step 6: Final answer
    x = 3,829.86

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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.