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Finding the Fourth Proportional to 6,330.32, 9,485.66 and 4,768.64

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Solution

The fourth proportional to 6,330.32, 9,485.66 and 4,768.64 is: 7,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.32 : 9,485.66 = 4,768.64 : x
  2. Step 2: Convert to fraction form
    6,330.32/9,485.66 = 4,768.64/x
  3. Step 3: Cross multiply
    6,330.32x = 9,485.66 × 4,768.64
  4. Step 4: Simplify right side
    6,330.32x = 45,233,697.70
  5. Step 5: Solve for x
    x = 45,233,697.70/6,330.32
  6. Step 6: Final answer
    x = 7,145.56

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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.