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Finding the Fourth Proportional to 9,143.87, 12,618.75 and 5,164.76

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Solution

The fourth proportional to 9,143.87, 12,618.75 and 5,164.76 is: 7,127.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.87 : 12,618.75 = 5,164.76 : x
  2. Step 2: Convert to fraction form
    9,143.87/12,618.75 = 5,164.76/x
  3. Step 3: Cross multiply
    9,143.87x = 12,618.75 × 5,164.76
  4. Step 4: Simplify right side
    9,143.87x = 65,172,815.25
  5. Step 5: Solve for x
    x = 65,172,815.25/9,143.87
  6. Step 6: Final answer
    x = 7,127.49

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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.