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Finding the Fourth Proportional to 9,235.23, 12,761.27 and 6,578.02

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Solution

The fourth proportional to 9,235.23, 12,761.27 and 6,578.02 is: 9,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.23 : 12,761.27 = 6,578.02 : x
  2. Step 2: Convert to fraction form
    9,235.23/12,761.27 = 6,578.02/x
  3. Step 3: Cross multiply
    9,235.23x = 12,761.27 × 6,578.02
  4. Step 4: Simplify right side
    9,235.23x = 83,943,889.29
  5. Step 5: Solve for x
    x = 83,943,889.29/9,235.23
  6. Step 6: Final answer
    x = 9,089.53

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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.