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Finding the Fourth Proportional to 9,897.12, 13,645.44 and 7,067.88

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Solution

The fourth proportional to 9,897.12, 13,645.44 and 7,067.88 is: 9,744.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.12 : 13,645.44 = 7,067.88 : x
  2. Step 2: Convert to fraction form
    9,897.12/13,645.44 = 7,067.88/x
  3. Step 3: Cross multiply
    9,897.12x = 13,645.44 × 7,067.88
  4. Step 4: Simplify right side
    9,897.12x = 96,444,332.47
  5. Step 5: Solve for x
    x = 96,444,332.47/9,897.12
  6. Step 6: Final answer
    x = 9,744.69

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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.