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Finding the Fourth Proportional to 6,095.04, 9,142.56 and 1,478

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Solution

The fourth proportional to 6,095.04, 9,142.56 and 1,478 is: 2,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.04 : 9,142.56 = 1,478 : x
  2. Step 2: Convert to fraction form
    6,095.04/9,142.56 = 1,478/x
  3. Step 3: Cross multiply
    6,095.04x = 9,142.56 × 1,478
  4. Step 4: Simplify right side
    6,095.04x = 13,512,703.68
  5. Step 5: Solve for x
    x = 13,512,703.68/6,095.04
  6. Step 6: Final answer
    x = 2,217

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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.