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Finding the Fourth Proportional to 6,428.16, 8,870.04 and 3,633.66

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Solution

The fourth proportional to 6,428.16, 8,870.04 and 3,633.66 is: 5,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.16 : 8,870.04 = 3,633.66 : x
  2. Step 2: Convert to fraction form
    6,428.16/8,870.04 = 3,633.66/x
  3. Step 3: Cross multiply
    6,428.16x = 8,870.04 × 3,633.66
  4. Step 4: Simplify right side
    6,428.16x = 32,230,709.55
  5. Step 5: Solve for x
    x = 32,230,709.55/6,428.16
  6. Step 6: Final answer
    x = 5,013.99

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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.