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Finding the Fourth Proportional to 9,964.12, 13,745.34 and 6,421.72

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Solution

The fourth proportional to 9,964.12, 13,745.34 and 6,421.72 is: 8,858.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.12 : 13,745.34 = 6,421.72 : x
  2. Step 2: Convert to fraction form
    9,964.12/13,745.34 = 6,421.72/x
  3. Step 3: Cross multiply
    9,964.12x = 13,745.34 × 6,421.72
  4. Step 4: Simplify right side
    9,964.12x = 88,268,724.78
  5. Step 5: Solve for x
    x = 88,268,724.78/9,964.12
  6. Step 6: Final answer
    x = 8,858.66

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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.