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Finding the Fourth Proportional to 10,634.00, 14,667.41 and 9,029.63

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Solution

The fourth proportional to 10,634.00, 14,667.41 and 9,029.63 is: 12,454.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.00 : 14,667.41 = 9,029.63 : x
  2. Step 2: Convert to fraction form
    10,634.00/14,667.41 = 9,029.63/x
  3. Step 3: Cross multiply
    10,634.00x = 14,667.41 × 9,029.63
  4. Step 4: Simplify right side
    10,634.00x = 132,441,344.60
  5. Step 5: Solve for x
    x = 132,441,344.60/10,634.00
  6. Step 6: Final answer
    x = 12,454.52

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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.