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Finding the Fourth Proportional to 6,164.59, 9,251.68 and 4,303.62

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Solution

The fourth proportional to 6,164.59, 9,251.68 and 4,303.62 is: 6,458.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.59 : 9,251.68 = 4,303.62 : x
  2. Step 2: Convert to fraction form
    6,164.59/9,251.68 = 4,303.62/x
  3. Step 3: Cross multiply
    6,164.59x = 9,251.68 × 4,303.62
  4. Step 4: Simplify right side
    6,164.59x = 39,815,715.08
  5. Step 5: Solve for x
    x = 39,815,715.08/6,164.59
  6. Step 6: Final answer
    x = 6,458.78

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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.