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Finding the Fourth Proportional to 9,989.01, 13,785.30 and 5,513.40

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Solution

The fourth proportional to 9,989.01, 13,785.30 and 5,513.40 is: 7,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.01 : 13,785.30 = 5,513.40 : x
  2. Step 2: Convert to fraction form
    9,989.01/13,785.30 = 5,513.40/x
  3. Step 3: Cross multiply
    9,989.01x = 13,785.30 × 5,513.40
  4. Step 4: Simplify right side
    9,989.01x = 76,003,873.02
  5. Step 5: Solve for x
    x = 76,003,873.02/9,989.01
  6. Step 6: Final answer
    x = 7,608.75

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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.