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Finding the Fourth Proportional to 6,456.80, 9,670.80 and 5,304.80

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Solution

The fourth proportional to 6,456.80, 9,670.80 and 5,304.80 is: 7,945.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.80 : 9,670.80 = 5,304.80 : x
  2. Step 2: Convert to fraction form
    6,456.80/9,670.80 = 5,304.80/x
  3. Step 3: Cross multiply
    6,456.80x = 9,670.80 × 5,304.80
  4. Step 4: Simplify right side
    6,456.80x = 51,301,659.84
  5. Step 5: Solve for x
    x = 51,301,659.84/6,456.80
  6. Step 6: Final answer
    x = 7,945.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.