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Finding the Fourth Proportional to 6,191.56, 9,276.18 and 4,106.62

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Solution

The fourth proportional to 6,191.56, 9,276.18 and 4,106.62 is: 6,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.56 : 9,276.18 = 4,106.62 : x
  2. Step 2: Convert to fraction form
    6,191.56/9,276.18 = 4,106.62/x
  3. Step 3: Cross multiply
    6,191.56x = 9,276.18 × 4,106.62
  4. Step 4: Simplify right side
    6,191.56x = 38,093,746.31
  5. Step 5: Solve for x
    x = 38,093,746.31/6,191.56
  6. Step 6: Final answer
    x = 6,152.53

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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.