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Finding the Fourth Proportional to 9,349.40, 14,009.70 and 6,267.80

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Solution

The fourth proportional to 9,349.40, 14,009.70 and 6,267.80 is: 9,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.40 : 14,009.70 = 6,267.80 : x
  2. Step 2: Convert to fraction form
    9,349.40/14,009.70 = 6,267.80/x
  3. Step 3: Cross multiply
    9,349.40x = 14,009.70 × 6,267.80
  4. Step 4: Simplify right side
    9,349.40x = 87,809,997.66
  5. Step 5: Solve for x
    x = 87,809,997.66/9,349.40
  6. Step 6: Final answer
    x = 9,392.05

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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.