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Finding the Fourth Proportional to 6,881.47, 9,497.02 and 3,897.84

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Solution

The fourth proportional to 6,881.47, 9,497.02 and 3,897.84 is: 5,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.47 : 9,497.02 = 3,897.84 : x
  2. Step 2: Convert to fraction form
    6,881.47/9,497.02 = 3,897.84/x
  3. Step 3: Cross multiply
    6,881.47x = 9,497.02 × 3,897.84
  4. Step 4: Simplify right side
    6,881.47x = 37,017,864.44
  5. Step 5: Solve for x
    x = 37,017,864.44/6,881.47
  6. Step 6: Final answer
    x = 5,379.35

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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.