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Finding the Fourth Proportional to 9,671.05, 14,508.60 and 3,827.71

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Solution

The fourth proportional to 9,671.05, 14,508.60 and 3,827.71 is: 5,742.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.05 : 14,508.60 = 3,827.71 : x
  2. Step 2: Convert to fraction form
    9,671.05/14,508.60 = 3,827.71/x
  3. Step 3: Cross multiply
    9,671.05x = 14,508.60 × 3,827.71
  4. Step 4: Simplify right side
    9,671.05x = 55,534,713.31
  5. Step 5: Solve for x
    x = 55,534,713.31/9,671.05
  6. Step 6: Final answer
    x = 5,742.37

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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.