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Finding the Fourth Proportional to 6,539.96, 9,020.58 and 4,301.12

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Solution

The fourth proportional to 6,539.96, 9,020.58 and 4,301.12 is: 5,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.96 : 9,020.58 = 4,301.12 : x
  2. Step 2: Convert to fraction form
    6,539.96/9,020.58 = 4,301.12/x
  3. Step 3: Cross multiply
    6,539.96x = 9,020.58 × 4,301.12
  4. Step 4: Simplify right side
    6,539.96x = 38,798,597.05
  5. Step 5: Solve for x
    x = 38,798,597.05/6,539.96
  6. Step 6: Final answer
    x = 5,932.54

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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.