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Finding the Fourth Proportional to 9,505.68, 14,256.12 and 4,310.52

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Solution

The fourth proportional to 9,505.68, 14,256.12 and 4,310.52 is: 6,464.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.68 : 14,256.12 = 4,310.52 : x
  2. Step 2: Convert to fraction form
    9,505.68/14,256.12 = 4,310.52/x
  3. Step 3: Cross multiply
    9,505.68x = 14,256.12 × 4,310.52
  4. Step 4: Simplify right side
    9,505.68x = 61,451,290.38
  5. Step 5: Solve for x
    x = 61,451,290.38/9,505.68
  6. Step 6: Final answer
    x = 6,464.69

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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.