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Finding the Fourth Proportional to 6,507.37, 9,762.90 and 2,614.51

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Solution

The fourth proportional to 6,507.37, 9,762.90 and 2,614.51 is: 3,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.37 : 9,762.90 = 2,614.51 : x
  2. Step 2: Convert to fraction form
    6,507.37/9,762.90 = 2,614.51/x
  3. Step 3: Cross multiply
    6,507.37x = 9,762.90 × 2,614.51
  4. Step 4: Simplify right side
    6,507.37x = 25,525,199.68
  5. Step 5: Solve for x
    x = 25,525,199.68/6,507.37
  6. Step 6: Final answer
    x = 3,922.51

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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.