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Finding the Fourth Proportional to 6,507.45, 9,741.09 and 4,159.65

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Solution

The fourth proportional to 6,507.45, 9,741.09 and 4,159.65 is: 6,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.45 : 9,741.09 = 4,159.65 : x
  2. Step 2: Convert to fraction form
    6,507.45/9,741.09 = 4,159.65/x
  3. Step 3: Cross multiply
    6,507.45x = 9,741.09 × 4,159.65
  4. Step 4: Simplify right side
    6,507.45x = 40,519,525.02
  5. Step 5: Solve for x
    x = 40,519,525.02/6,507.45
  6. Step 6: Final answer
    x = 6,226.64

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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.