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Finding the Fourth Proportional to 7,077.35, 9,767.29 and 4,244.83

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Solution

The fourth proportional to 7,077.35, 9,767.29 and 4,244.83 is: 5,858.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.35 : 9,767.29 = 4,244.83 : x
  2. Step 2: Convert to fraction form
    7,077.35/9,767.29 = 4,244.83/x
  3. Step 3: Cross multiply
    7,077.35x = 9,767.29 × 4,244.83
  4. Step 4: Simplify right side
    7,077.35x = 41,460,499.42
  5. Step 5: Solve for x
    x = 41,460,499.42/7,077.35
  6. Step 6: Final answer
    x = 5,858.20

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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.