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Finding the Fourth Proportional to 9,989.89, 13,785.57 and 5,737.96

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Solution

The fourth proportional to 9,989.89, 13,785.57 and 5,737.96 is: 7,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.89 : 13,785.57 = 5,737.96 : x
  2. Step 2: Convert to fraction form
    9,989.89/13,785.57 = 5,737.96/x
  3. Step 3: Cross multiply
    9,989.89x = 13,785.57 × 5,737.96
  4. Step 4: Simplify right side
    9,989.89x = 79,101,066.47
  5. Step 5: Solve for x
    x = 79,101,066.47/9,989.89
  6. Step 6: Final answer
    x = 7,918.11

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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.