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Finding the Fourth Proportional to 6,522.50, 9,000.50 and 3,689.72

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Solution

The fourth proportional to 6,522.50, 9,000.50 and 3,689.72 is: 5,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.50 : 9,000.50 = 3,689.72 : x
  2. Step 2: Convert to fraction form
    6,522.50/9,000.50 = 3,689.72/x
  3. Step 3: Cross multiply
    6,522.50x = 9,000.50 × 3,689.72
  4. Step 4: Simplify right side
    6,522.50x = 33,209,328.91
  5. Step 5: Solve for x
    x = 33,209,328.91/6,522.50
  6. Step 6: Final answer
    x = 5,091.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.