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Finding the Fourth Proportional to 6,225.61, 9,338.30 and 1,545.63

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Solution

The fourth proportional to 6,225.61, 9,338.30 and 1,545.63 is: 2,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.61 : 9,338.30 = 1,545.63 : x
  2. Step 2: Convert to fraction form
    6,225.61/9,338.30 = 1,545.63/x
  3. Step 3: Cross multiply
    6,225.61x = 9,338.30 × 1,545.63
  4. Step 4: Simplify right side
    6,225.61x = 14,433,556.63
  5. Step 5: Solve for x
    x = 14,433,556.63/6,225.61
  6. Step 6: Final answer
    x = 2,318.42

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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.