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Finding the Fourth Proportional to 6,094.56, 9,144 and 1,935.24

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Solution

The fourth proportional to 6,094.56, 9,144 and 1,935.24 is: 2,903.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.56 : 9,144 = 1,935.24 : x
  2. Step 2: Convert to fraction form
    6,094.56/9,144 = 1,935.24/x
  3. Step 3: Cross multiply
    6,094.56x = 9,144 × 1,935.24
  4. Step 4: Simplify right side
    6,094.56x = 17,695,834.56
  5. Step 5: Solve for x
    x = 17,695,834.56/6,094.56
  6. Step 6: Final answer
    x = 2,903.55

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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.