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Finding the Fourth Proportional to 9,636.18, 13,282.02 and 6,448.34

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Solution

The fourth proportional to 9,636.18, 13,282.02 and 6,448.34 is: 8,888.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.18 : 13,282.02 = 6,448.34 : x
  2. Step 2: Convert to fraction form
    9,636.18/13,282.02 = 6,448.34/x
  3. Step 3: Cross multiply
    9,636.18x = 13,282.02 × 6,448.34
  4. Step 4: Simplify right side
    9,636.18x = 85,646,914.44
  5. Step 5: Solve for x
    x = 85,646,914.44/9,636.18
  6. Step 6: Final answer
    x = 8,888.06

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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.