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Finding the Fourth Proportional to 6,053.12, 9,074.20 and 4,205.10

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Solution

The fourth proportional to 6,053.12, 9,074.20 and 4,205.10 is: 6,303.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.12 : 9,074.20 = 4,205.10 : x
  2. Step 2: Convert to fraction form
    6,053.12/9,074.20 = 4,205.10/x
  3. Step 3: Cross multiply
    6,053.12x = 9,074.20 × 4,205.10
  4. Step 4: Simplify right side
    6,053.12x = 38,157,918.42
  5. Step 5: Solve for x
    x = 38,157,918.42/6,053.12
  6. Step 6: Final answer
    x = 6,303.84

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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.