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Finding the Fourth Proportional to 9,231.36, 12,739.76 and 6,085.28

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Solution

The fourth proportional to 9,231.36, 12,739.76 and 6,085.28 is: 8,398.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.36 : 12,739.76 = 6,085.28 : x
  2. Step 2: Convert to fraction form
    9,231.36/12,739.76 = 6,085.28/x
  3. Step 3: Cross multiply
    9,231.36x = 12,739.76 × 6,085.28
  4. Step 4: Simplify right side
    9,231.36x = 77,525,006.73
  5. Step 5: Solve for x
    x = 77,525,006.73/9,231.36
  6. Step 6: Final answer
    x = 8,398.00

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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.