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Finding the Fourth Proportional to 9,225.54, 13,840.97 and 4,546.95

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Solution

The fourth proportional to 9,225.54, 13,840.97 and 4,546.95 is: 6,821.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.54 : 13,840.97 = 4,546.95 : x
  2. Step 2: Convert to fraction form
    9,225.54/13,840.97 = 4,546.95/x
  3. Step 3: Cross multiply
    9,225.54x = 13,840.97 × 4,546.95
  4. Step 4: Simplify right side
    9,225.54x = 62,934,175.81
  5. Step 5: Solve for x
    x = 62,934,175.81/9,225.54
  6. Step 6: Final answer
    x = 6,821.73

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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.