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Finding the Fourth Proportional to 9,225.21, 12,728.85 and 5,866.80

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Solution

The fourth proportional to 9,225.21, 12,728.85 and 5,866.80 is: 8,094.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.21 : 12,728.85 = 5,866.80 : x
  2. Step 2: Convert to fraction form
    9,225.21/12,728.85 = 5,866.80/x
  3. Step 3: Cross multiply
    9,225.21x = 12,728.85 × 5,866.80
  4. Step 4: Simplify right side
    9,225.21x = 74,677,617.18
  5. Step 5: Solve for x
    x = 74,677,617.18/9,225.21
  6. Step 6: Final answer
    x = 8,094.95

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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.