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Finding the Fourth Proportional to 7,841.61, 10,818.36 and 6,846.93

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Solution

The fourth proportional to 7,841.61, 10,818.36 and 6,846.93 is: 9,446.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.61 : 10,818.36 = 6,846.93 : x
  2. Step 2: Convert to fraction form
    7,841.61/10,818.36 = 6,846.93/x
  3. Step 3: Cross multiply
    7,841.61x = 10,818.36 × 6,846.93
  4. Step 4: Simplify right side
    7,841.61x = 74,072,553.63
  5. Step 5: Solve for x
    x = 74,072,553.63/7,841.61
  6. Step 6: Final answer
    x = 9,446.09

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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.