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Finding the Fourth Proportional to 9,624.42, 13,280.28 and 5,845.62

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Solution

The fourth proportional to 9,624.42, 13,280.28 and 5,845.62 is: 8,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.42 : 13,280.28 = 5,845.62 : x
  2. Step 2: Convert to fraction form
    9,624.42/13,280.28 = 5,845.62/x
  3. Step 3: Cross multiply
    9,624.42x = 13,280.28 × 5,845.62
  4. Step 4: Simplify right side
    9,624.42x = 77,631,470.37
  5. Step 5: Solve for x
    x = 77,631,470.37/9,624.42
  6. Step 6: Final answer
    x = 8,066.09

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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.