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Finding the Fourth Proportional to 6,368.76, 9,545.72 and 3,441.96

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Solution

The fourth proportional to 6,368.76, 9,545.72 and 3,441.96 is: 5,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368.76 : 9,545.72 = 3,441.96 : x
  2. Step 2: Convert to fraction form
    6,368.76/9,545.72 = 3,441.96/x
  3. Step 3: Cross multiply
    6,368.76x = 9,545.72 × 3,441.96
  4. Step 4: Simplify right side
    6,368.76x = 32,855,969.20
  5. Step 5: Solve for x
    x = 32,855,969.20/6,368.76
  6. Step 6: Final answer
    x = 5,158.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.