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Finding the Fourth Proportional to 6,176.32, 9,265.86 and 2,887.62

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Solution

The fourth proportional to 6,176.32, 9,265.86 and 2,887.62 is: 4,332.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.32 : 9,265.86 = 2,887.62 : x
  2. Step 2: Convert to fraction form
    6,176.32/9,265.86 = 2,887.62/x
  3. Step 3: Cross multiply
    6,176.32x = 9,265.86 × 2,887.62
  4. Step 4: Simplify right side
    6,176.32x = 26,756,282.65
  5. Step 5: Solve for x
    x = 26,756,282.65/6,176.32
  6. Step 6: Final answer
    x = 4,332.08

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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.