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Finding the Fourth Proportional to 9,366.75, 12,926.12 and 5,175.63

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Solution

The fourth proportional to 9,366.75, 12,926.12 and 5,175.63 is: 7,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.75 : 12,926.12 = 5,175.63 : x
  2. Step 2: Convert to fraction form
    9,366.75/12,926.12 = 5,175.63/x
  3. Step 3: Cross multiply
    9,366.75x = 12,926.12 × 5,175.63
  4. Step 4: Simplify right side
    9,366.75x = 66,900,788.58
  5. Step 5: Solve for x
    x = 66,900,788.58/9,366.75
  6. Step 6: Final answer
    x = 7,142.37

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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.