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Finding the Fourth Proportional to 9,671.41, 14,504.71 and 2,651.46

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Solution

The fourth proportional to 9,671.41, 14,504.71 and 2,651.46 is: 3,976.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.41 : 14,504.71 = 2,651.46 : x
  2. Step 2: Convert to fraction form
    9,671.41/14,504.71 = 2,651.46/x
  3. Step 3: Cross multiply
    9,671.41x = 14,504.71 × 2,651.46
  4. Step 4: Simplify right side
    9,671.41x = 38,458,658.38
  5. Step 5: Solve for x
    x = 38,458,658.38/9,671.41
  6. Step 6: Final answer
    x = 3,976.53

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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.