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Finding the Fourth Proportional to 9,642.44, 13,308.00 and 6,105.98

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Solution

The fourth proportional to 9,642.44, 13,308.00 and 6,105.98 is: 8,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.44 : 13,308.00 = 6,105.98 : x
  2. Step 2: Convert to fraction form
    9,642.44/13,308.00 = 6,105.98/x
  3. Step 3: Cross multiply
    9,642.44x = 13,308.00 × 6,105.98
  4. Step 4: Simplify right side
    9,642.44x = 81,258,392.21
  5. Step 5: Solve for x
    x = 81,258,392.21/9,642.44
  6. Step 6: Final answer
    x = 8,427.16

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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.