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Finding the Fourth Proportional to 9,740.01, 14,622.13 and 6,797.18

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Solution

The fourth proportional to 9,740.01, 14,622.13 and 6,797.18 is: 10,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.01 : 14,622.13 = 6,797.18 : x
  2. Step 2: Convert to fraction form
    9,740.01/14,622.13 = 6,797.18/x
  3. Step 3: Cross multiply
    9,740.01x = 14,622.13 × 6,797.18
  4. Step 4: Simplify right side
    9,740.01x = 99,389,249.59
  5. Step 5: Solve for x
    x = 99,389,249.59/9,740.01
  6. Step 6: Final answer
    x = 10,204.22

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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.