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Finding the Fourth Proportional to 9,989.70, 13,785.42 and 5,513.50

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Solution

The fourth proportional to 9,989.70, 13,785.42 and 5,513.50 is: 7,608.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.70 : 13,785.42 = 5,513.50 : x
  2. Step 2: Convert to fraction form
    9,989.70/13,785.42 = 5,513.50/x
  3. Step 3: Cross multiply
    9,989.70x = 13,785.42 × 5,513.50
  4. Step 4: Simplify right side
    9,989.70x = 76,005,913.17
  5. Step 5: Solve for x
    x = 76,005,913.17/9,989.70
  6. Step 6: Final answer
    x = 7,608.43

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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.