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Finding the Fourth Proportional to 6,509.22, 9,759.51 and 2,125.14

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Solution

The fourth proportional to 6,509.22, 9,759.51 and 2,125.14 is: 3,186.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.22 : 9,759.51 = 2,125.14 : x
  2. Step 2: Convert to fraction form
    6,509.22/9,759.51 = 2,125.14/x
  3. Step 3: Cross multiply
    6,509.22x = 9,759.51 × 2,125.14
  4. Step 4: Simplify right side
    6,509.22x = 20,740,325.08
  5. Step 5: Solve for x
    x = 20,740,325.08/6,509.22
  6. Step 6: Final answer
    x = 3,186.30

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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.