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Finding the Fourth Proportional to 9,873.38, 13,625.27 and 5,681.63

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Solution

The fourth proportional to 9,873.38, 13,625.27 and 5,681.63 is: 7,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.38 : 13,625.27 = 5,681.63 : x
  2. Step 2: Convert to fraction form
    9,873.38/13,625.27 = 5,681.63/x
  3. Step 3: Cross multiply
    9,873.38x = 13,625.27 × 5,681.63
  4. Step 4: Simplify right side
    9,873.38x = 77,413,646.26
  5. Step 5: Solve for x
    x = 77,413,646.26/9,873.38
  6. Step 6: Final answer
    x = 7,840.65

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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.