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Finding the Fourth Proportional to 6,142.93, 9,212.70 and 1,699.54

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Solution

The fourth proportional to 6,142.93, 9,212.70 and 1,699.54 is: 2,548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.93 : 9,212.70 = 1,699.54 : x
  2. Step 2: Convert to fraction form
    6,142.93/9,212.70 = 1,699.54/x
  3. Step 3: Cross multiply
    6,142.93x = 9,212.70 × 1,699.54
  4. Step 4: Simplify right side
    6,142.93x = 15,657,352.16
  5. Step 5: Solve for x
    x = 15,657,352.16/6,142.93
  6. Step 6: Final answer
    x = 2,548.84

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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.