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Finding the Fourth Proportional to 6,954.58, 9,528.59 and 6,857.38

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Solution

The fourth proportional to 6,954.58, 9,528.59 and 6,857.38 is: 9,395.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,954.58 : 9,528.59 = 6,857.38 : x
  2. Step 2: Convert to fraction form
    6,954.58/9,528.59 = 6,857.38/x
  3. Step 3: Cross multiply
    6,954.58x = 9,528.59 × 6,857.38
  4. Step 4: Simplify right side
    6,954.58x = 65,341,162.49
  5. Step 5: Solve for x
    x = 65,341,162.49/6,954.58
  6. Step 6: Final answer
    x = 9,395.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.