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Finding the Fourth Proportional to 9,134.02, 13,733.62 and 8,412.30

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Solution

The fourth proportional to 9,134.02, 13,733.62 and 8,412.30 is: 12,648.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.02 : 13,733.62 = 8,412.30 : x
  2. Step 2: Convert to fraction form
    9,134.02/13,733.62 = 8,412.30/x
  3. Step 3: Cross multiply
    9,134.02x = 13,733.62 × 8,412.30
  4. Step 4: Simplify right side
    9,134.02x = 115,531,331.53
  5. Step 5: Solve for x
    x = 115,531,331.53/9,134.02
  6. Step 6: Final answer
    x = 12,648.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.