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Finding the Fourth Proportional to 9,393.70, 14,080.38 and 6,109.15

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Solution

The fourth proportional to 9,393.70, 14,080.38 and 6,109.15 is: 9,157.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,393.70 : 14,080.38 = 6,109.15 : x
  2. Step 2: Convert to fraction form
    9,393.70/14,080.38 = 6,109.15/x
  3. Step 3: Cross multiply
    9,393.70x = 14,080.38 × 6,109.15
  4. Step 4: Simplify right side
    9,393.70x = 86,019,153.48
  5. Step 5: Solve for x
    x = 86,019,153.48/9,393.70
  6. Step 6: Final answer
    x = 9,157.11

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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.