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Finding the Fourth Proportional to 9,147.70, 13,721.55 and 8,533.30

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Solution

The fourth proportional to 9,147.70, 13,721.55 and 8,533.30 is: 12,799.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.70 : 13,721.55 = 8,533.30 : x
  2. Step 2: Convert to fraction form
    9,147.70/13,721.55 = 8,533.30/x
  3. Step 3: Cross multiply
    9,147.70x = 13,721.55 × 8,533.30
  4. Step 4: Simplify right side
    9,147.70x = 117,090,102.62
  5. Step 5: Solve for x
    x = 117,090,102.62/9,147.70
  6. Step 6: Final answer
    x = 12,799.95

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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.