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Finding the Fourth Proportional to 6,989.41, 9,643.80 and 5,102.02

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Solution

The fourth proportional to 6,989.41, 9,643.80 and 5,102.02 is: 7,039.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.41 : 9,643.80 = 5,102.02 : x
  2. Step 2: Convert to fraction form
    6,989.41/9,643.80 = 5,102.02/x
  3. Step 3: Cross multiply
    6,989.41x = 9,643.80 × 5,102.02
  4. Step 4: Simplify right side
    6,989.41x = 49,202,872.53
  5. Step 5: Solve for x
    x = 49,202,872.53/6,989.41
  6. Step 6: Final answer
    x = 7,039.63

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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.