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Finding the Fourth Proportional to 6,095.48, 9,136.32 and 2,801.77

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Solution

The fourth proportional to 6,095.48, 9,136.32 and 2,801.77 is: 4,199.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.48 : 9,136.32 = 2,801.77 : x
  2. Step 2: Convert to fraction form
    6,095.48/9,136.32 = 2,801.77/x
  3. Step 3: Cross multiply
    6,095.48x = 9,136.32 × 2,801.77
  4. Step 4: Simplify right side
    6,095.48x = 25,597,867.29
  5. Step 5: Solve for x
    x = 25,597,867.29/6,095.48
  6. Step 6: Final answer
    x = 4,199.48

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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.