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Finding the Fourth Proportional to 7,191.60, 9,921.48 and 5,778.84

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Solution

The fourth proportional to 7,191.60, 9,921.48 and 5,778.84 is: 7,972.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191.60 : 9,921.48 = 5,778.84 : x
  2. Step 2: Convert to fraction form
    7,191.60/9,921.48 = 5,778.84/x
  3. Step 3: Cross multiply
    7,191.60x = 9,921.48 × 5,778.84
  4. Step 4: Simplify right side
    7,191.60x = 57,334,645.48
  5. Step 5: Solve for x
    x = 57,334,645.48/7,191.60
  6. Step 6: Final answer
    x = 7,972.45

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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.