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Finding the Fourth Proportional to 6,101.56, 9,145.50 and 4,346.20

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Solution

The fourth proportional to 6,101.56, 9,145.50 and 4,346.20 is: 6,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.56 : 9,145.50 = 4,346.20 : x
  2. Step 2: Convert to fraction form
    6,101.56/9,145.50 = 4,346.20/x
  3. Step 3: Cross multiply
    6,101.56x = 9,145.50 × 4,346.20
  4. Step 4: Simplify right side
    6,101.56x = 39,748,172.10
  5. Step 5: Solve for x
    x = 39,748,172.10/6,101.56
  6. Step 6: Final answer
    x = 6,514.43

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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.