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Finding the Fourth Proportional to 7,084.32, 9,776.49 and 3,897.90

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Solution

The fourth proportional to 7,084.32, 9,776.49 and 3,897.90 is: 5,379.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.32 : 9,776.49 = 3,897.90 : x
  2. Step 2: Convert to fraction form
    7,084.32/9,776.49 = 3,897.90/x
  3. Step 3: Cross multiply
    7,084.32x = 9,776.49 × 3,897.90
  4. Step 4: Simplify right side
    7,084.32x = 38,107,780.37
  5. Step 5: Solve for x
    x = 38,107,780.37/7,084.32
  6. Step 6: Final answer
    x = 5,379.17

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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.