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Finding the Fourth Proportional to 6,477.30, 9,701.37 and 3,874.80

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Solution

The fourth proportional to 6,477.30, 9,701.37 and 3,874.80 is: 5,803.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.30 : 9,701.37 = 3,874.80 : x
  2. Step 2: Convert to fraction form
    6,477.30/9,701.37 = 3,874.80/x
  3. Step 3: Cross multiply
    6,477.30x = 9,701.37 × 3,874.80
  4. Step 4: Simplify right side
    6,477.30x = 37,590,868.48
  5. Step 5: Solve for x
    x = 37,590,868.48/6,477.30
  6. Step 6: Final answer
    x = 5,803.48

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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.