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Finding the Fourth Proportional to 6,201.42, 9,303.77 and 3,602.13

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Solution

The fourth proportional to 6,201.42, 9,303.77 and 3,602.13 is: 5,404.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.42 : 9,303.77 = 3,602.13 : x
  2. Step 2: Convert to fraction form
    6,201.42/9,303.77 = 3,602.13/x
  3. Step 3: Cross multiply
    6,201.42x = 9,303.77 × 3,602.13
  4. Step 4: Simplify right side
    6,201.42x = 33,513,389.03
  5. Step 5: Solve for x
    x = 33,513,389.03/6,201.42
  6. Step 6: Final answer
    x = 5,404.15

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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.