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Finding the Fourth Proportional to 9,893.14, 13,653.56 and 5,862.38

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Solution

The fourth proportional to 9,893.14, 13,653.56 and 5,862.38 is: 8,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.14 : 13,653.56 = 5,862.38 : x
  2. Step 2: Convert to fraction form
    9,893.14/13,653.56 = 5,862.38/x
  3. Step 3: Cross multiply
    9,893.14x = 13,653.56 × 5,862.38
  4. Step 4: Simplify right side
    9,893.14x = 80,042,303.46
  5. Step 5: Solve for x
    x = 80,042,303.46/9,893.14
  6. Step 6: Final answer
    x = 8,090.69

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Why These Related Problems?

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