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Finding the Fourth Proportional to 6,095.22, 9,142.83 and 1,712.84

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Solution

The fourth proportional to 6,095.22, 9,142.83 and 1,712.84 is: 2,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095.22 : 9,142.83 = 1,712.84 : x
  2. Step 2: Convert to fraction form
    6,095.22/9,142.83 = 1,712.84/x
  3. Step 3: Cross multiply
    6,095.22x = 9,142.83 × 1,712.84
  4. Step 4: Simplify right side
    6,095.22x = 15,660,159.22
  5. Step 5: Solve for x
    x = 15,660,159.22/6,095.22
  6. Step 6: Final answer
    x = 2,569.25

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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.