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Finding the Fourth Proportional to 6,188.96, 9,263.37 and 4,545.14

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Solution

The fourth proportional to 6,188.96, 9,263.37 and 4,545.14 is: 6,802.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.96 : 9,263.37 = 4,545.14 : x
  2. Step 2: Convert to fraction form
    6,188.96/9,263.37 = 4,545.14/x
  3. Step 3: Cross multiply
    6,188.96x = 9,263.37 × 4,545.14
  4. Step 4: Simplify right side
    6,188.96x = 42,103,313.52
  5. Step 5: Solve for x
    x = 42,103,313.52/6,188.96
  6. Step 6: Final answer
    x = 6,802.97

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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.