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Finding the Fourth Proportional to 9,006.31, 13,509.06 and 2,766.07

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Solution

The fourth proportional to 9,006.31, 13,509.06 and 2,766.07 is: 4,148.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,006.31 : 13,509.06 = 2,766.07 : x
  2. Step 2: Convert to fraction form
    9,006.31/13,509.06 = 2,766.07/x
  3. Step 3: Cross multiply
    9,006.31x = 13,509.06 × 2,766.07
  4. Step 4: Simplify right side
    9,006.31x = 37,367,005.59
  5. Step 5: Solve for x
    x = 37,367,005.59/9,006.31
  6. Step 6: Final answer
    x = 4,148.98

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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.