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Finding the Fourth Proportional to 9,807.32, 14,712.80 and 3,233.97

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Solution

The fourth proportional to 9,807.32, 14,712.80 and 3,233.97 is: 4,851.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.32 : 14,712.80 = 3,233.97 : x
  2. Step 2: Convert to fraction form
    9,807.32/14,712.80 = 3,233.97/x
  3. Step 3: Cross multiply
    9,807.32x = 14,712.80 × 3,233.97
  4. Step 4: Simplify right side
    9,807.32x = 47,580,753.82
  5. Step 5: Solve for x
    x = 47,580,753.82/9,807.32
  6. Step 6: Final answer
    x = 4,851.56

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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.