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Finding the Fourth Proportional to 9,650.46, 13,319.16 and 5,672.54

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Solution

The fourth proportional to 9,650.46, 13,319.16 and 5,672.54 is: 7,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.46 : 13,319.16 = 5,672.54 : x
  2. Step 2: Convert to fraction form
    9,650.46/13,319.16 = 5,672.54/x
  3. Step 3: Cross multiply
    9,650.46x = 13,319.16 × 5,672.54
  4. Step 4: Simplify right side
    9,650.46x = 75,553,467.87
  5. Step 5: Solve for x
    x = 75,553,467.87/9,650.46
  6. Step 6: Final answer
    x = 7,829.00

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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.