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Finding the Fourth Proportional to 9,989.38, 13,784.89 and 5,737.45

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Solution

The fourth proportional to 9,989.38, 13,784.89 and 5,737.45 is: 7,917.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.38 : 13,784.89 = 5,737.45 : x
  2. Step 2: Convert to fraction form
    9,989.38/13,784.89 = 5,737.45/x
  3. Step 3: Cross multiply
    9,989.38x = 13,784.89 × 5,737.45
  4. Step 4: Simplify right side
    9,989.38x = 79,090,117.13
  5. Step 5: Solve for x
    x = 79,090,117.13/9,989.38
  6. Step 6: Final answer
    x = 7,917.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.