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Finding the Fourth Proportional to 6,410.51, 9,617.46 and 2,712.89

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Solution

The fourth proportional to 6,410.51, 9,617.46 and 2,712.89 is: 4,070.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.51 : 9,617.46 = 2,712.89 : x
  2. Step 2: Convert to fraction form
    6,410.51/9,617.46 = 2,712.89/x
  3. Step 3: Cross multiply
    6,410.51x = 9,617.46 × 2,712.89
  4. Step 4: Simplify right side
    6,410.51x = 26,091,062.97
  5. Step 5: Solve for x
    x = 26,091,062.97/6,410.51
  6. Step 6: Final answer
    x = 4,070.05

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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.