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Finding the Fourth Proportional to 9,642.63, 13,308.26 and 6,106.17

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Solution

The fourth proportional to 9,642.63, 13,308.26 and 6,106.17 is: 8,427.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.63 : 13,308.26 = 6,106.17 : x
  2. Step 2: Convert to fraction form
    9,642.63/13,308.26 = 6,106.17/x
  3. Step 3: Cross multiply
    9,642.63x = 13,308.26 × 6,106.17
  4. Step 4: Simplify right side
    9,642.63x = 81,262,467.43
  5. Step 5: Solve for x
    x = 81,262,467.43/9,642.63
  6. Step 6: Final answer
    x = 8,427.42

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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.