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Finding the Fourth Proportional to 6,477.67, 8,937.95 and 3,644.66

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Solution

The fourth proportional to 6,477.67, 8,937.95 and 3,644.66 is: 5,028.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.67 : 8,937.95 = 3,644.66 : x
  2. Step 2: Convert to fraction form
    6,477.67/8,937.95 = 3,644.66/x
  3. Step 3: Cross multiply
    6,477.67x = 8,937.95 × 3,644.66
  4. Step 4: Simplify right side
    6,477.67x = 32,575,792.97
  5. Step 5: Solve for x
    x = 32,575,792.97/6,477.67
  6. Step 6: Final answer
    x = 5,028.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.