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Finding the Fourth Proportional to 6,378.84, 9,559.02 and 4,533.60

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Solution

The fourth proportional to 6,378.84, 9,559.02 and 4,533.60 is: 6,793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.84 : 9,559.02 = 4,533.60 : x
  2. Step 2: Convert to fraction form
    6,378.84/9,559.02 = 4,533.60/x
  3. Step 3: Cross multiply
    6,378.84x = 9,559.02 × 4,533.60
  4. Step 4: Simplify right side
    6,378.84x = 43,336,773.07
  5. Step 5: Solve for x
    x = 43,336,773.07/6,378.84
  6. Step 6: Final answer
    x = 6,793.83

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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.