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Finding the Fourth Proportional to 6,847.56, 9,449.64 and 4,330.76

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Solution

The fourth proportional to 6,847.56, 9,449.64 and 4,330.76 is: 5,976.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.56 : 9,449.64 = 4,330.76 : x
  2. Step 2: Convert to fraction form
    6,847.56/9,449.64 = 4,330.76/x
  3. Step 3: Cross multiply
    6,847.56x = 9,449.64 × 4,330.76
  4. Step 4: Simplify right side
    6,847.56x = 40,924,075.68
  5. Step 5: Solve for x
    x = 40,924,075.68/6,847.56
  6. Step 6: Final answer
    x = 5,976.45

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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.