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Finding the Fourth Proportional to 9,830.62, 13,566.12 and 5,638.78

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Solution

The fourth proportional to 9,830.62, 13,566.12 and 5,638.78 is: 7,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.62 : 13,566.12 = 5,638.78 : x
  2. Step 2: Convert to fraction form
    9,830.62/13,566.12 = 5,638.78/x
  3. Step 3: Cross multiply
    9,830.62x = 13,566.12 × 5,638.78
  4. Step 4: Simplify right side
    9,830.62x = 76,496,366.13
  5. Step 5: Solve for x
    x = 76,496,366.13/9,830.62
  6. Step 6: Final answer
    x = 7,781.44

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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.