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Finding the Fourth Proportional to 9,812.14, 13,545.77 and 6,642.19

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Solution

The fourth proportional to 9,812.14, 13,545.77 and 6,642.19 is: 9,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.14 : 13,545.77 = 6,642.19 : x
  2. Step 2: Convert to fraction form
    9,812.14/13,545.77 = 6,642.19/x
  3. Step 3: Cross multiply
    9,812.14x = 13,545.77 × 6,642.19
  4. Step 4: Simplify right side
    9,812.14x = 89,973,561.76
  5. Step 5: Solve for x
    x = 89,973,561.76/9,812.14
  6. Step 6: Final answer
    x = 9,169.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.