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Finding the Fourth Proportional to 6,742.35, 9,283.26 and 5,732.07

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Solution

The fourth proportional to 6,742.35, 9,283.26 and 5,732.07 is: 7,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.35 : 9,283.26 = 5,732.07 : x
  2. Step 2: Convert to fraction form
    6,742.35/9,283.26 = 5,732.07/x
  3. Step 3: Cross multiply
    6,742.35x = 9,283.26 × 5,732.07
  4. Step 4: Simplify right side
    6,742.35x = 53,212,282.83
  5. Step 5: Solve for x
    x = 53,212,282.83/6,742.35
  6. Step 6: Final answer
    x = 7,892.25

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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.