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Finding the Fourth Proportional to 9,502.40, 13,114.41 and 7,906.22

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Solution

The fourth proportional to 9,502.40, 13,114.41 and 7,906.22 is: 10,911.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.40 : 13,114.41 = 7,906.22 : x
  2. Step 2: Convert to fraction form
    9,502.40/13,114.41 = 7,906.22/x
  3. Step 3: Cross multiply
    9,502.40x = 13,114.41 × 7,906.22
  4. Step 4: Simplify right side
    9,502.40x = 103,685,410.63
  5. Step 5: Solve for x
    x = 103,685,410.63/9,502.40
  6. Step 6: Final answer
    x = 10,911.50

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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.