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Finding the Fourth Proportional to 6,094.63, 9,141.91 and 1,712.06

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Solution

The fourth proportional to 6,094.63, 9,141.91 and 1,712.06 is: 2,568.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,094.63 : 9,141.91 = 1,712.06 : x
  2. Step 2: Convert to fraction form
    6,094.63/9,141.91 = 1,712.06/x
  3. Step 3: Cross multiply
    6,094.63x = 9,141.91 × 1,712.06
  4. Step 4: Simplify right side
    6,094.63x = 15,651,498.43
  5. Step 5: Solve for x
    x = 15,651,498.43/6,094.63
  6. Step 6: Final answer
    x = 2,568.08

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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.