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Finding the Fourth Proportional to 9,989, 13,784.82 and 5,573

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Solution

The fourth proportional to 9,989, 13,784.82 and 5,573 is: 7,690.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989 : 13,784.82 = 5,573 : x
  2. Step 2: Convert to fraction form
    9,989/13,784.82 = 5,573/x
  3. Step 3: Cross multiply
    9,989x = 13,784.82 × 5,573
  4. Step 4: Simplify right side
    9,989x = 76,822,801.86
  5. Step 5: Solve for x
    x = 76,822,801.86/9,989
  6. Step 6: Final answer
    x = 7,690.74

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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.