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Finding the Fourth Proportional to 9,424.76, 13,006.12 and 5,175.84

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Solution

The fourth proportional to 9,424.76, 13,006.12 and 5,175.84 is: 7,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.76 : 13,006.12 = 5,175.84 : x
  2. Step 2: Convert to fraction form
    9,424.76/13,006.12 = 5,175.84/x
  3. Step 3: Cross multiply
    9,424.76x = 13,006.12 × 5,175.84
  4. Step 4: Simplify right side
    9,424.76x = 67,317,596.14
  5. Step 5: Solve for x
    x = 67,317,596.14/9,424.76
  6. Step 6: Final answer
    x = 7,142.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.