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Finding the Fourth Proportional to 6,094.37, 9,141.90 and 1,712.16

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Solution

The fourth proportional to 6,094.37, 9,141.90 and 1,712.16 is: 2,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.37 : 9,141.90 = 1,712.16 : x
  2. Step 2: Convert to fraction form
    6,094.37/9,141.90 = 1,712.16/x
  3. Step 3: Cross multiply
    6,094.37x = 9,141.90 × 1,712.16
  4. Step 4: Simplify right side
    6,094.37x = 15,652,433.00
  5. Step 5: Solve for x
    x = 15,652,433.00/6,094.37
  6. Step 6: Final answer
    x = 2,568.35

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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.