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Finding the Fourth Proportional to 9,635.51, 13,291.25 and 5,855.64

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Solution

The fourth proportional to 9,635.51, 13,291.25 and 5,855.64 is: 8,077.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.51 : 13,291.25 = 5,855.64 : x
  2. Step 2: Convert to fraction form
    9,635.51/13,291.25 = 5,855.64/x
  3. Step 3: Cross multiply
    9,635.51x = 13,291.25 × 5,855.64
  4. Step 4: Simplify right side
    9,635.51x = 77,828,745.87
  5. Step 5: Solve for x
    x = 77,828,745.87/9,635.51
  6. Step 6: Final answer
    x = 8,077.29

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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.