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Finding the Fourth Proportional to 9,650.07, 13,301.19 and 6,462.21

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Solution

The fourth proportional to 9,650.07, 13,301.19 and 6,462.21 is: 8,907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.07 : 13,301.19 = 6,462.21 : x
  2. Step 2: Convert to fraction form
    9,650.07/13,301.19 = 6,462.21/x
  3. Step 3: Cross multiply
    9,650.07x = 13,301.19 × 6,462.21
  4. Step 4: Simplify right side
    9,650.07x = 85,955,083.03
  5. Step 5: Solve for x
    x = 85,955,083.03/9,650.07
  6. Step 6: Final answer
    x = 8,907.20

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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.