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Finding the Fourth Proportional to 9,305.80, 13,930.98 and 6,009.28

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Solution

The fourth proportional to 9,305.80, 13,930.98 and 6,009.28 is: 8,996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.80 : 13,930.98 = 6,009.28 : x
  2. Step 2: Convert to fraction form
    9,305.80/13,930.98 = 6,009.28/x
  3. Step 3: Cross multiply
    9,305.80x = 13,930.98 × 6,009.28
  4. Step 4: Simplify right side
    9,305.80x = 83,715,159.49
  5. Step 5: Solve for x
    x = 83,715,159.49/9,305.80
  6. Step 6: Final answer
    x = 8,996.02

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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.