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Finding the Fourth Proportional to 9,624.42, 13,289.22 and 7,382.75

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Solution

The fourth proportional to 9,624.42, 13,289.22 and 7,382.75 is: 10,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.42 : 13,289.22 = 7,382.75 : x
  2. Step 2: Convert to fraction form
    9,624.42/13,289.22 = 7,382.75/x
  3. Step 3: Cross multiply
    9,624.42x = 13,289.22 × 7,382.75
  4. Step 4: Simplify right side
    9,624.42x = 98,110,922.51
  5. Step 5: Solve for x
    x = 98,110,922.51/9,624.42
  6. Step 6: Final answer
    x = 10,193.96

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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.