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Finding the Fourth Proportional to 9,634.72, 13,290.12 and 5,855.28

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Solution

The fourth proportional to 9,634.72, 13,290.12 and 5,855.28 is: 8,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.72 : 13,290.12 = 5,855.28 : x
  2. Step 2: Convert to fraction form
    9,634.72/13,290.12 = 5,855.28/x
  3. Step 3: Cross multiply
    9,634.72x = 13,290.12 × 5,855.28
  4. Step 4: Simplify right side
    9,634.72x = 77,817,373.83
  5. Step 5: Solve for x
    x = 77,817,373.83/9,634.72
  6. Step 6: Final answer
    x = 8,076.77

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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.