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Finding the Fourth Proportional to 9,741.32, 13,447.44 and 6,384.20

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Solution

The fourth proportional to 9,741.32, 13,447.44 and 6,384.20 is: 8,813.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,741.32 : 13,447.44 = 6,384.20 : x
  2. Step 2: Convert to fraction form
    9,741.32/13,447.44 = 6,384.20/x
  3. Step 3: Cross multiply
    9,741.32x = 13,447.44 × 6,384.20
  4. Step 4: Simplify right side
    9,741.32x = 85,851,146.45
  5. Step 5: Solve for x
    x = 85,851,146.45/9,741.32
  6. Step 6: Final answer
    x = 8,813.09

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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.