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Finding the Fourth Proportional to 6,900.12, 9,518.13 and 5,009.49

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Solution

The fourth proportional to 6,900.12, 9,518.13 and 5,009.49 is: 6,910.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.12 : 9,518.13 = 5,009.49 : x
  2. Step 2: Convert to fraction form
    6,900.12/9,518.13 = 5,009.49/x
  3. Step 3: Cross multiply
    6,900.12x = 9,518.13 × 5,009.49
  4. Step 4: Simplify right side
    6,900.12x = 47,680,977.05
  5. Step 5: Solve for x
    x = 47,680,977.05/6,900.12
  6. Step 6: Final answer
    x = 6,910.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.