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Finding the Fourth Proportional to 6,314.64, 8,684.46 and 5,527.32

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Solution

The fourth proportional to 6,314.64, 8,684.46 and 5,527.32 is: 7,601.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.64 : 8,684.46 = 5,527.32 : x
  2. Step 2: Convert to fraction form
    6,314.64/8,684.46 = 5,527.32/x
  3. Step 3: Cross multiply
    6,314.64x = 8,684.46 × 5,527.32
  4. Step 4: Simplify right side
    6,314.64x = 48,001,789.45
  5. Step 5: Solve for x
    x = 48,001,789.45/6,314.64
  6. Step 6: Final answer
    x = 7,601.67

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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.