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Finding the Fourth Proportional to 9,465.76, 14,193.70 and 3,537.77

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Solution

The fourth proportional to 9,465.76, 14,193.70 and 3,537.77 is: 5,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.76 : 14,193.70 = 3,537.77 : x
  2. Step 2: Convert to fraction form
    9,465.76/14,193.70 = 3,537.77/x
  3. Step 3: Cross multiply
    9,465.76x = 14,193.70 × 3,537.77
  4. Step 4: Simplify right side
    9,465.76x = 50,214,046.05
  5. Step 5: Solve for x
    x = 50,214,046.05/9,465.76
  6. Step 6: Final answer
    x = 5,304.81

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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.