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Finding the Fourth Proportional to 9,816.84, 13,545.66 and 5,837.82

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Solution

The fourth proportional to 9,816.84, 13,545.66 and 5,837.82 is: 8,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.84 : 13,545.66 = 5,837.82 : x
  2. Step 2: Convert to fraction form
    9,816.84/13,545.66 = 5,837.82/x
  3. Step 3: Cross multiply
    9,816.84x = 13,545.66 × 5,837.82
  4. Step 4: Simplify right side
    9,816.84x = 79,077,124.86
  5. Step 5: Solve for x
    x = 79,077,124.86/9,816.84
  6. Step 6: Final answer
    x = 8,055.25

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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.