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Finding the Fourth Proportional to 9,650.06, 13,323.08 and 7,407.66

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Solution

The fourth proportional to 9,650.06, 13,323.08 and 7,407.66 is: 10,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.06 : 13,323.08 = 7,407.66 : x
  2. Step 2: Convert to fraction form
    9,650.06/13,323.08 = 7,407.66/x
  3. Step 3: Cross multiply
    9,650.06x = 13,323.08 × 7,407.66
  4. Step 4: Simplify right side
    9,650.06x = 98,692,846.79
  5. Step 5: Solve for x
    x = 98,692,846.79/9,650.06
  6. Step 6: Final answer
    x = 10,227.17

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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.