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Finding the Fourth Proportional to 9,304.74, 12,840.12 and 5,768.28

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Solution

The fourth proportional to 9,304.74, 12,840.12 and 5,768.28 is: 7,959.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,304.74 : 12,840.12 = 5,768.28 : x
  2. Step 2: Convert to fraction form
    9,304.74/12,840.12 = 5,768.28/x
  3. Step 3: Cross multiply
    9,304.74x = 12,840.12 × 5,768.28
  4. Step 4: Simplify right side
    9,304.74x = 74,065,407.39
  5. Step 5: Solve for x
    x = 74,065,407.39/9,304.74
  6. Step 6: Final answer
    x = 7,959.97

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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.