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Finding the Fourth Proportional to 6,095.32, 9,142.97 and 1,478.32

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Solution

The fourth proportional to 6,095.32, 9,142.97 and 1,478.32 is: 2,217.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.32 : 9,142.97 = 1,478.32 : x
  2. Step 2: Convert to fraction form
    6,095.32/9,142.97 = 1,478.32/x
  3. Step 3: Cross multiply
    6,095.32x = 9,142.97 × 1,478.32
  4. Step 4: Simplify right side
    6,095.32x = 13,516,189.70
  5. Step 5: Solve for x
    x = 13,516,189.70/6,095.32
  6. Step 6: Final answer
    x = 2,217.47

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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.