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Finding the Fourth Proportional to 6,353.84, 9,520.22 and 4,495.74

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Solution

The fourth proportional to 6,353.84, 9,520.22 and 4,495.74 is: 6,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.84 : 9,520.22 = 4,495.74 : x
  2. Step 2: Convert to fraction form
    6,353.84/9,520.22 = 4,495.74/x
  3. Step 3: Cross multiply
    6,353.84x = 9,520.22 × 4,495.74
  4. Step 4: Simplify right side
    6,353.84x = 42,800,411.38
  5. Step 5: Solve for x
    x = 42,800,411.38/6,353.84
  6. Step 6: Final answer
    x = 6,736.15

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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.