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Finding the Fourth Proportional to 6,095.98, 9,137.07 and 2,802.27

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Solution

The fourth proportional to 6,095.98, 9,137.07 and 2,802.27 is: 4,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.98 : 9,137.07 = 2,802.27 : x
  2. Step 2: Convert to fraction form
    6,095.98/9,137.07 = 2,802.27/x
  3. Step 3: Cross multiply
    6,095.98x = 9,137.07 × 2,802.27
  4. Step 4: Simplify right side
    6,095.98x = 25,604,537.15
  5. Step 5: Solve for x
    x = 25,604,537.15/6,095.98
  6. Step 6: Final answer
    x = 4,200.23

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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.