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Finding the Fourth Proportional to 6,074.19, 9,111.94 and 1,914.32

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Solution

The fourth proportional to 6,074.19, 9,111.94 and 1,914.32 is: 2,871.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.19 : 9,111.94 = 1,914.32 : x
  2. Step 2: Convert to fraction form
    6,074.19/9,111.94 = 1,914.32/x
  3. Step 3: Cross multiply
    6,074.19x = 9,111.94 × 1,914.32
  4. Step 4: Simplify right side
    6,074.19x = 17,443,186.97
  5. Step 5: Solve for x
    x = 17,443,186.97/6,074.19
  6. Step 6: Final answer
    x = 2,871.69

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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.