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Finding the Fourth Proportional to 6,537.36, 9,807.35 and 3,418.77

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Solution

The fourth proportional to 6,537.36, 9,807.35 and 3,418.77 is: 5,128.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.36 : 9,807.35 = 3,418.77 : x
  2. Step 2: Convert to fraction form
    6,537.36/9,807.35 = 3,418.77/x
  3. Step 3: Cross multiply
    6,537.36x = 9,807.35 × 3,418.77
  4. Step 4: Simplify right side
    6,537.36x = 33,529,056.87
  5. Step 5: Solve for x
    x = 33,529,056.87/6,537.36
  6. Step 6: Final answer
    x = 5,128.84

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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.