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Finding the Fourth Proportional to 9,906.42, 13,685.73 and 6,511.53

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Solution

The fourth proportional to 9,906.42, 13,685.73 and 6,511.53 is: 8,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.42 : 13,685.73 = 6,511.53 : x
  2. Step 2: Convert to fraction form
    9,906.42/13,685.73 = 6,511.53/x
  3. Step 3: Cross multiply
    9,906.42x = 13,685.73 × 6,511.53
  4. Step 4: Simplify right side
    9,906.42x = 89,115,041.47
  5. Step 5: Solve for x
    x = 89,115,041.47/9,906.42
  6. Step 6: Final answer
    x = 8,995.69

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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.