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Finding the Fourth Proportional to 9,419.14, 12,993.06 and 6,009.92

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Solution

The fourth proportional to 9,419.14, 12,993.06 and 6,009.92 is: 8,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.14 : 12,993.06 = 6,009.92 : x
  2. Step 2: Convert to fraction form
    9,419.14/12,993.06 = 6,009.92/x
  3. Step 3: Cross multiply
    9,419.14x = 12,993.06 × 6,009.92
  4. Step 4: Simplify right side
    9,419.14x = 78,087,260.19
  5. Step 5: Solve for x
    x = 78,087,260.19/9,419.14
  6. Step 6: Final answer
    x = 8,290.28

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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.