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Finding the Fourth Proportional to 9,133.59, 13,634.29 and 8,026.41

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Solution

The fourth proportional to 9,133.59, 13,634.29 and 8,026.41 is: 11,981.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.59 : 13,634.29 = 8,026.41 : x
  2. Step 2: Convert to fraction form
    9,133.59/13,634.29 = 8,026.41/x
  3. Step 3: Cross multiply
    9,133.59x = 13,634.29 × 8,026.41
  4. Step 4: Simplify right side
    9,133.59x = 109,434,401.60
  5. Step 5: Solve for x
    x = 109,434,401.60/9,133.59
  6. Step 6: Final answer
    x = 11,981.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.