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Finding the Fourth Proportional to 9,191.77, 13,783.33 and 6,421.57

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Solution

The fourth proportional to 9,191.77, 13,783.33 and 6,421.57 is: 9,629.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.77 : 13,783.33 = 6,421.57 : x
  2. Step 2: Convert to fraction form
    9,191.77/13,783.33 = 6,421.57/x
  3. Step 3: Cross multiply
    9,191.77x = 13,783.33 × 6,421.57
  4. Step 4: Simplify right side
    9,191.77x = 88,510,618.43
  5. Step 5: Solve for x
    x = 88,510,618.43/9,191.77
  6. Step 6: Final answer
    x = 9,629.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.