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Finding the Fourth Proportional to 6,191.19, 8,539.07 and 4,302.74

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Solution

The fourth proportional to 6,191.19, 8,539.07 and 4,302.74 is: 5,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.19 : 8,539.07 = 4,302.74 : x
  2. Step 2: Convert to fraction form
    6,191.19/8,539.07 = 4,302.74/x
  3. Step 3: Cross multiply
    6,191.19x = 8,539.07 × 4,302.74
  4. Step 4: Simplify right side
    6,191.19x = 36,741,333.84
  5. Step 5: Solve for x
    x = 36,741,333.84/6,191.19
  6. Step 6: Final answer
    x = 5,934.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.