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Finding the Fourth Proportional to 6,739.42, 9,308.86 and 5,680.72

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Solution

The fourth proportional to 6,739.42, 9,308.86 and 5,680.72 is: 7,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.42 : 9,308.86 = 5,680.72 : x
  2. Step 2: Convert to fraction form
    6,739.42/9,308.86 = 5,680.72/x
  3. Step 3: Cross multiply
    6,739.42x = 9,308.86 × 5,680.72
  4. Step 4: Simplify right side
    6,739.42x = 52,881,027.18
  5. Step 5: Solve for x
    x = 52,881,027.18/6,739.42
  6. Step 6: Final answer
    x = 7,846.52

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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.