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Finding the Fourth Proportional to 6,311.76, 9,459.19 and 4,843.72

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Solution

The fourth proportional to 6,311.76, 9,459.19 and 4,843.72 is: 7,259.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.76 : 9,459.19 = 4,843.72 : x
  2. Step 2: Convert to fraction form
    6,311.76/9,459.19 = 4,843.72/x
  3. Step 3: Cross multiply
    6,311.76x = 9,459.19 × 4,843.72
  4. Step 4: Simplify right side
    6,311.76x = 45,817,667.79
  5. Step 5: Solve for x
    x = 45,817,667.79/6,311.76
  6. Step 6: Final answer
    x = 7,259.10

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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.