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Finding the Fourth Proportional to 6,486.84, 8,950.50 and 4,128.12

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Solution

The fourth proportional to 6,486.84, 8,950.50 and 4,128.12 is: 5,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.84 : 8,950.50 = 4,128.12 : x
  2. Step 2: Convert to fraction form
    6,486.84/8,950.50 = 4,128.12/x
  3. Step 3: Cross multiply
    6,486.84x = 8,950.50 × 4,128.12
  4. Step 4: Simplify right side
    6,486.84x = 36,948,738.06
  5. Step 5: Solve for x
    x = 36,948,738.06/6,486.84
  6. Step 6: Final answer
    x = 5,695.95

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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.