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Finding the Fourth Proportional to 9,989.60, 13,785.64 and 5,513.36

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Solution

The fourth proportional to 9,989.60, 13,785.64 and 5,513.36 is: 7,608.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.60 : 13,785.64 = 5,513.36 : x
  2. Step 2: Convert to fraction form
    9,989.60/13,785.64 = 5,513.36/x
  3. Step 3: Cross multiply
    9,989.60x = 13,785.64 × 5,513.36
  4. Step 4: Simplify right side
    9,989.60x = 76,005,113.44
  5. Step 5: Solve for x
    x = 76,005,113.44/9,989.60
  6. Step 6: Final answer
    x = 7,608.42

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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.