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Finding the Fourth Proportional to 6,551.20, 9,820.99 and 4,697.65

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Solution

The fourth proportional to 6,551.20, 9,820.99 and 4,697.65 is: 7,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.20 : 9,820.99 = 4,697.65 : x
  2. Step 2: Convert to fraction form
    6,551.20/9,820.99 = 4,697.65/x
  3. Step 3: Cross multiply
    6,551.20x = 9,820.99 × 4,697.65
  4. Step 4: Simplify right side
    6,551.20x = 46,135,537.38
  5. Step 5: Solve for x
    x = 46,135,537.38/6,551.20
  6. Step 6: Final answer
    x = 7,042.31

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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.