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Finding the Fourth Proportional to 9,261.23, 13,840.88 and 6,767.61

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Solution

The fourth proportional to 9,261.23, 13,840.88 and 6,767.61 is: 10,114.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.23 : 13,840.88 = 6,767.61 : x
  2. Step 2: Convert to fraction form
    9,261.23/13,840.88 = 6,767.61/x
  3. Step 3: Cross multiply
    9,261.23x = 13,840.88 × 6,767.61
  4. Step 4: Simplify right side
    9,261.23x = 93,669,644.06
  5. Step 5: Solve for x
    x = 93,669,644.06/9,261.23
  6. Step 6: Final answer
    x = 10,114.17

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.