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Finding the Fourth Proportional to 9,349.12, 14,026.06 and 3,109.17

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Solution

The fourth proportional to 9,349.12, 14,026.06 and 3,109.17 is: 4,664.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.12 : 14,026.06 = 3,109.17 : x
  2. Step 2: Convert to fraction form
    9,349.12/14,026.06 = 3,109.17/x
  3. Step 3: Cross multiply
    9,349.12x = 14,026.06 × 3,109.17
  4. Step 4: Simplify right side
    9,349.12x = 43,609,404.97
  5. Step 5: Solve for x
    x = 43,609,404.97/9,349.12
  6. Step 6: Final answer
    x = 4,664.55

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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.