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Finding the Fourth Proportional to 9,005.94, 13,509.18 and 4,069.80

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Solution

The fourth proportional to 9,005.94, 13,509.18 and 4,069.80 is: 6,104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.94 : 13,509.18 = 4,069.80 : x
  2. Step 2: Convert to fraction form
    9,005.94/13,509.18 = 4,069.80/x
  3. Step 3: Cross multiply
    9,005.94x = 13,509.18 × 4,069.80
  4. Step 4: Simplify right side
    9,005.94x = 54,979,660.76
  5. Step 5: Solve for x
    x = 54,979,660.76/9,005.94
  6. Step 6: Final answer
    x = 6,104.82

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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.