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Finding the Fourth Proportional to 6,522.96, 9,767.70 and 3,598.02

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Solution

The fourth proportional to 6,522.96, 9,767.70 and 3,598.02 is: 5,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.96 : 9,767.70 = 3,598.02 : x
  2. Step 2: Convert to fraction form
    6,522.96/9,767.70 = 3,598.02/x
  3. Step 3: Cross multiply
    6,522.96x = 9,767.70 × 3,598.02
  4. Step 4: Simplify right side
    6,522.96x = 35,144,379.95
  5. Step 5: Solve for x
    x = 35,144,379.95/6,522.96
  6. Step 6: Final answer
    x = 5,387.80

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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.