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Finding the Fourth Proportional to 6,014.30, 9,006.86 and 4,160.21

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Solution

The fourth proportional to 6,014.30, 9,006.86 and 4,160.21 is: 6,230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.30 : 9,006.86 = 4,160.21 : x
  2. Step 2: Convert to fraction form
    6,014.30/9,006.86 = 4,160.21/x
  3. Step 3: Cross multiply
    6,014.30x = 9,006.86 × 4,160.21
  4. Step 4: Simplify right side
    6,014.30x = 37,470,394.41
  5. Step 5: Solve for x
    x = 37,470,394.41/6,014.30
  6. Step 6: Final answer
    x = 6,230.22

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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.