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Finding the Fourth Proportional to 9,818.62, 13,545.23 and 5,837.47

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Solution

The fourth proportional to 9,818.62, 13,545.23 and 5,837.47 is: 8,053.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.62 : 13,545.23 = 5,837.47 : x
  2. Step 2: Convert to fraction form
    9,818.62/13,545.23 = 5,837.47/x
  3. Step 3: Cross multiply
    9,818.62x = 13,545.23 × 5,837.47
  4. Step 4: Simplify right side
    9,818.62x = 79,069,810.72
  5. Step 5: Solve for x
    x = 79,069,810.72/9,818.62
  6. Step 6: Final answer
    x = 8,053.05

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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.