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Finding the Fourth Proportional to 9,014.97, 12,434.40 and 8,271.39

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Solution

The fourth proportional to 9,014.97, 12,434.40 and 8,271.39 is: 11,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.97 : 12,434.40 = 8,271.39 : x
  2. Step 2: Convert to fraction form
    9,014.97/12,434.40 = 8,271.39/x
  3. Step 3: Cross multiply
    9,014.97x = 12,434.40 × 8,271.39
  4. Step 4: Simplify right side
    9,014.97x = 102,849,771.82
  5. Step 5: Solve for x
    x = 102,849,771.82/9,014.97
  6. Step 6: Final answer
    x = 11,408.78

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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.