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Finding the Fourth Proportional to 6,858.92, 9,465.32 and 3,715.11

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Solution

The fourth proportional to 6,858.92, 9,465.32 and 3,715.11 is: 5,126.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.92 : 9,465.32 = 3,715.11 : x
  2. Step 2: Convert to fraction form
    6,858.92/9,465.32 = 3,715.11/x
  3. Step 3: Cross multiply
    6,858.92x = 9,465.32 × 3,715.11
  4. Step 4: Simplify right side
    6,858.92x = 35,164,714.27
  5. Step 5: Solve for x
    x = 35,164,714.27/6,858.92
  6. Step 6: Final answer
    x = 5,126.86

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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.