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Finding the Fourth Proportional to 6,577.89, 9,077.70 and 3,924.93

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Solution

The fourth proportional to 6,577.89, 9,077.70 and 3,924.93 is: 5,416.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.89 : 9,077.70 = 3,924.93 : x
  2. Step 2: Convert to fraction form
    6,577.89/9,077.70 = 3,924.93/x
  3. Step 3: Cross multiply
    6,577.89x = 9,077.70 × 3,924.93
  4. Step 4: Simplify right side
    6,577.89x = 35,629,337.06
  5. Step 5: Solve for x
    x = 35,629,337.06/6,577.89
  6. Step 6: Final answer
    x = 5,416.53

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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.