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Finding the Fourth Proportional to 6,225.93, 9,338.63 and 1,545.83

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Solution

The fourth proportional to 6,225.93, 9,338.63 and 1,545.83 is: 2,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.93 : 9,338.63 = 1,545.83 : x
  2. Step 2: Convert to fraction form
    6,225.93/9,338.63 = 1,545.83/x
  3. Step 3: Cross multiply
    6,225.93x = 9,338.63 × 1,545.83
  4. Step 4: Simplify right side
    6,225.93x = 14,435,915.01
  5. Step 5: Solve for x
    x = 14,435,915.01/6,225.93
  6. Step 6: Final answer
    x = 2,318.68

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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.