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Finding the Fourth Proportional to 9,047.20, 13,573.20 and 3,203.20

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Solution

The fourth proportional to 9,047.20, 13,573.20 and 3,203.20 is: 4,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,047.20 : 13,573.20 = 3,203.20 : x
  2. Step 2: Convert to fraction form
    9,047.20/13,573.20 = 3,203.20/x
  3. Step 3: Cross multiply
    9,047.20x = 13,573.20 × 3,203.20
  4. Step 4: Simplify right side
    9,047.20x = 43,477,674.24
  5. Step 5: Solve for x
    x = 43,477,674.24/9,047.20
  6. Step 6: Final answer
    x = 4,805.65

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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.