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Finding the Fourth Proportional to 6,881.77, 9,497.47 and 3,897.73

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Solution

The fourth proportional to 6,881.77, 9,497.47 and 3,897.73 is: 5,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.77 : 9,497.47 = 3,897.73 : x
  2. Step 2: Convert to fraction form
    6,881.77/9,497.47 = 3,897.73/x
  3. Step 3: Cross multiply
    6,881.77x = 9,497.47 × 3,897.73
  4. Step 4: Simplify right side
    6,881.77x = 37,018,526.26
  5. Step 5: Solve for x
    x = 37,018,526.26/6,881.77
  6. Step 6: Final answer
    x = 5,379.22

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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.