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Finding the Fourth Proportional to 6,405.24, 9,607.86 and 2,509.14

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Solution

The fourth proportional to 6,405.24, 9,607.86 and 2,509.14 is: 3,763.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.24 : 9,607.86 = 2,509.14 : x
  2. Step 2: Convert to fraction form
    6,405.24/9,607.86 = 2,509.14/x
  3. Step 3: Cross multiply
    6,405.24x = 9,607.86 × 2,509.14
  4. Step 4: Simplify right side
    6,405.24x = 24,107,465.84
  5. Step 5: Solve for x
    x = 24,107,465.84/6,405.24
  6. Step 6: Final answer
    x = 3,763.71

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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.