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Finding the Fourth Proportional to 6,155.42, 9,235.96 and 3,818.16

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Solution

The fourth proportional to 6,155.42, 9,235.96 and 3,818.16 is: 5,729.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.42 : 9,235.96 = 3,818.16 : x
  2. Step 2: Convert to fraction form
    6,155.42/9,235.96 = 3,818.16/x
  3. Step 3: Cross multiply
    6,155.42x = 9,235.96 × 3,818.16
  4. Step 4: Simplify right side
    6,155.42x = 35,264,373.03
  5. Step 5: Solve for x
    x = 35,264,373.03/6,155.42
  6. Step 6: Final answer
    x = 5,729.00

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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.