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Finding the Fourth Proportional to 9,704.64, 14,543.26 and 4,426.68

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Solution

The fourth proportional to 9,704.64, 14,543.26 and 4,426.68 is: 6,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.64 : 14,543.26 = 4,426.68 : x
  2. Step 2: Convert to fraction form
    9,704.64/14,543.26 = 4,426.68/x
  3. Step 3: Cross multiply
    9,704.64x = 14,543.26 × 4,426.68
  4. Step 4: Simplify right side
    9,704.64x = 64,378,358.18
  5. Step 5: Solve for x
    x = 64,378,358.18/9,704.64
  6. Step 6: Final answer
    x = 6,633.77

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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.