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Finding the Fourth Proportional to 6,056.68, 9,085.74 and 5,692.18

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Solution

The fourth proportional to 6,056.68, 9,085.74 and 5,692.18 is: 8,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.68 : 9,085.74 = 5,692.18 : x
  2. Step 2: Convert to fraction form
    6,056.68/9,085.74 = 5,692.18/x
  3. Step 3: Cross multiply
    6,056.68x = 9,085.74 × 5,692.18
  4. Step 4: Simplify right side
    6,056.68x = 51,717,667.51
  5. Step 5: Solve for x
    x = 51,717,667.51/6,056.68
  6. Step 6: Final answer
    x = 8,538.95

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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.