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Finding the Fourth Proportional to 6,009.40, 9,016.14 and 3,702.52

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Solution

The fourth proportional to 6,009.40, 9,016.14 and 3,702.52 is: 5,555.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.40 : 9,016.14 = 3,702.52 : x
  2. Step 2: Convert to fraction form
    6,009.40/9,016.14 = 3,702.52/x
  3. Step 3: Cross multiply
    6,009.40x = 9,016.14 × 3,702.52
  4. Step 4: Simplify right side
    6,009.40x = 33,382,438.67
  5. Step 5: Solve for x
    x = 33,382,438.67/6,009.40
  6. Step 6: Final answer
    x = 5,555.04

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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.