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Finding the Fourth Proportional to 6,599.62, 9,108.57 and 3,767.50

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Solution

The fourth proportional to 6,599.62, 9,108.57 and 3,767.50 is: 5,199.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.62 : 9,108.57 = 3,767.50 : x
  2. Step 2: Convert to fraction form
    6,599.62/9,108.57 = 3,767.50/x
  3. Step 3: Cross multiply
    6,599.62x = 9,108.57 × 3,767.50
  4. Step 4: Simplify right side
    6,599.62x = 34,316,537.48
  5. Step 5: Solve for x
    x = 34,316,537.48/6,599.62
  6. Step 6: Final answer
    x = 5,199.77

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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.