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Finding the Fourth Proportional to 6,094.00, 9,144.30 and 2,585.98

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Solution

The fourth proportional to 6,094.00, 9,144.30 and 2,585.98 is: 3,880.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.00 : 9,144.30 = 2,585.98 : x
  2. Step 2: Convert to fraction form
    6,094.00/9,144.30 = 2,585.98/x
  3. Step 3: Cross multiply
    6,094.00x = 9,144.30 × 2,585.98
  4. Step 4: Simplify right side
    6,094.00x = 23,646,931.19
  5. Step 5: Solve for x
    x = 23,646,931.19/6,094.00
  6. Step 6: Final answer
    x = 3,880.37

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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.