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Finding the Fourth Proportional to 9,048.34, 13,573.98 and 3,203.68

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Solution

The fourth proportional to 9,048.34, 13,573.98 and 3,203.68 is: 4,806.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,048.34 : 13,573.98 = 3,203.68 : x
  2. Step 2: Convert to fraction form
    9,048.34/13,573.98 = 3,203.68/x
  3. Step 3: Cross multiply
    9,048.34x = 13,573.98 × 3,203.68
  4. Step 4: Simplify right side
    9,048.34x = 43,486,688.25
  5. Step 5: Solve for x
    x = 43,486,688.25/9,048.34
  6. Step 6: Final answer
    x = 4,806.04

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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.