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Finding the Fourth Proportional to 7,146.99, 9,864 and 4,314.78

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Solution

The fourth proportional to 7,146.99, 9,864 and 4,314.78 is: 5,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.99 : 9,864 = 4,314.78 : x
  2. Step 2: Convert to fraction form
    7,146.99/9,864 = 4,314.78/x
  3. Step 3: Cross multiply
    7,146.99x = 9,864 × 4,314.78
  4. Step 4: Simplify right side
    7,146.99x = 42,560,989.92
  5. Step 5: Solve for x
    x = 42,560,989.92/7,146.99
  6. Step 6: Final answer
    x = 5,955.09

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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.