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Finding the Fourth Proportional to 6,905.60, 9,534.42 and 5,309.44

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Solution

The fourth proportional to 6,905.60, 9,534.42 and 5,309.44 is: 7,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.60 : 9,534.42 = 5,309.44 : x
  2. Step 2: Convert to fraction form
    6,905.60/9,534.42 = 5,309.44/x
  3. Step 3: Cross multiply
    6,905.60x = 9,534.42 × 5,309.44
  4. Step 4: Simplify right side
    6,905.60x = 50,622,430.92
  5. Step 5: Solve for x
    x = 50,622,430.92/6,905.60
  6. Step 6: Final answer
    x = 7,330.63

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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.