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Finding the Fourth Proportional to 6,434.81, 9,652.21 and 2,272.53

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Solution

The fourth proportional to 6,434.81, 9,652.21 and 2,272.53 is: 3,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,434.81 : 9,652.21 = 2,272.53 : x
  2. Step 2: Convert to fraction form
    6,434.81/9,652.21 = 2,272.53/x
  3. Step 3: Cross multiply
    6,434.81x = 9,652.21 × 2,272.53
  4. Step 4: Simplify right side
    6,434.81x = 21,934,931.11
  5. Step 5: Solve for x
    x = 21,934,931.11/6,434.81
  6. Step 6: Final answer
    x = 3,408.80

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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.