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Finding the Fourth Proportional to 9,829.96, 13,565.22 and 5,638.12

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Solution

The fourth proportional to 9,829.96, 13,565.22 and 5,638.12 is: 7,780.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.96 : 13,565.22 = 5,638.12 : x
  2. Step 2: Convert to fraction form
    9,829.96/13,565.22 = 5,638.12/x
  3. Step 3: Cross multiply
    9,829.96x = 13,565.22 × 5,638.12
  4. Step 4: Simplify right side
    9,829.96x = 76,482,338.19
  5. Step 5: Solve for x
    x = 76,482,338.19/9,829.96
  6. Step 6: Final answer
    x = 7,780.53

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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.