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Finding the Fourth Proportional to 9,410.51, 12,986.16 and 5,161.46

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Solution

The fourth proportional to 9,410.51, 12,986.16 and 5,161.46 is: 7,122.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,410.51 : 12,986.16 = 5,161.46 : x
  2. Step 2: Convert to fraction form
    9,410.51/12,986.16 = 5,161.46/x
  3. Step 3: Cross multiply
    9,410.51x = 12,986.16 × 5,161.46
  4. Step 4: Simplify right side
    9,410.51x = 67,027,461.11
  5. Step 5: Solve for x
    x = 67,027,461.11/9,410.51
  6. Step 6: Final answer
    x = 7,122.62

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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.