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Finding the Fourth Proportional to 9,305.32, 13,969.83 and 6,032.11

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Solution

The fourth proportional to 9,305.32, 13,969.83 and 6,032.11 is: 9,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.32 : 13,969.83 = 6,032.11 : x
  2. Step 2: Convert to fraction form
    9,305.32/13,969.83 = 6,032.11/x
  3. Step 3: Cross multiply
    9,305.32x = 13,969.83 × 6,032.11
  4. Step 4: Simplify right side
    9,305.32x = 84,267,551.24
  5. Step 5: Solve for x
    x = 84,267,551.24/9,305.32
  6. Step 6: Final answer
    x = 9,055.85

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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.