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Finding the Fourth Proportional to 9,844.47, 14,764.14 and 6,723.95

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Solution

The fourth proportional to 9,844.47, 14,764.14 and 6,723.95 is: 10,084.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,844.47 : 14,764.14 = 6,723.95 : x
  2. Step 2: Convert to fraction form
    9,844.47/14,764.14 = 6,723.95/x
  3. Step 3: Cross multiply
    9,844.47x = 14,764.14 × 6,723.95
  4. Step 4: Simplify right side
    9,844.47x = 99,273,265.33
  5. Step 5: Solve for x
    x = 99,273,265.33/9,844.47
  6. Step 6: Final answer
    x = 10,084.17

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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.