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Finding the Fourth Proportional to 9,696.22, 13,386.90 and 6,710.96

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Solution

The fourth proportional to 9,696.22, 13,386.90 and 6,710.96 is: 9,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.22 : 13,386.90 = 6,710.96 : x
  2. Step 2: Convert to fraction form
    9,696.22/13,386.90 = 6,710.96/x
  3. Step 3: Cross multiply
    9,696.22x = 13,386.90 × 6,710.96
  4. Step 4: Simplify right side
    9,696.22x = 89,839,009.06
  5. Step 5: Solve for x
    x = 89,839,009.06/9,696.22
  6. Step 6: Final answer
    x = 9,265.37

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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.