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Finding the Fourth Proportional to 6,465.56, 9,674.64 and 5,292.68

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Solution

The fourth proportional to 6,465.56, 9,674.64 and 5,292.68 is: 7,919.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.56 : 9,674.64 = 5,292.68 : x
  2. Step 2: Convert to fraction form
    6,465.56/9,674.64 = 5,292.68/x
  3. Step 3: Cross multiply
    6,465.56x = 9,674.64 × 5,292.68
  4. Step 4: Simplify right side
    6,465.56x = 51,204,725.26
  5. Step 5: Solve for x
    x = 51,204,725.26/6,465.56
  6. Step 6: Final answer
    x = 7,919.62

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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.