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Finding the Fourth Proportional to 6,478.58, 9,715.80 and 2,095.14

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Solution

The fourth proportional to 6,478.58, 9,715.80 and 2,095.14 is: 3,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.58 : 9,715.80 = 2,095.14 : x
  2. Step 2: Convert to fraction form
    6,478.58/9,715.80 = 2,095.14/x
  3. Step 3: Cross multiply
    6,478.58x = 9,715.80 × 2,095.14
  4. Step 4: Simplify right side
    6,478.58x = 20,355,961.21
  5. Step 5: Solve for x
    x = 20,355,961.21/6,478.58
  6. Step 6: Final answer
    x = 3,142.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.