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Finding the Fourth Proportional to 6,207.62, 9,313.78 and 2,877.50

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Solution

The fourth proportional to 6,207.62, 9,313.78 and 2,877.50 is: 4,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.62 : 9,313.78 = 2,877.50 : x
  2. Step 2: Convert to fraction form
    6,207.62/9,313.78 = 2,877.50/x
  3. Step 3: Cross multiply
    6,207.62x = 9,313.78 × 2,877.50
  4. Step 4: Simplify right side
    6,207.62x = 26,800,401.95
  5. Step 5: Solve for x
    x = 26,800,401.95/6,207.62
  6. Step 6: Final answer
    x = 4,317.34

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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.