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Finding the Fourth Proportional to 6,093, 9,139.55 and 1,476

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Solution

The fourth proportional to 6,093, 9,139.55 and 1,476 is: 2,214.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093 : 9,139.55 = 1,476 : x
  2. Step 2: Convert to fraction form
    6,093/9,139.55 = 1,476/x
  3. Step 3: Cross multiply
    6,093x = 9,139.55 × 1,476
  4. Step 4: Simplify right side
    6,093x = 13,489,968.42
  5. Step 5: Solve for x
    x = 13,489,968.42/6,093
  6. Step 6: Final answer
    x = 2,214.01

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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.