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Finding the Fourth Proportional to 9,624.40, 13,282.56 and 6,041.92

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Solution

The fourth proportional to 9,624.40, 13,282.56 and 6,041.92 is: 8,338.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.40 : 13,282.56 = 6,041.92 : x
  2. Step 2: Convert to fraction form
    9,624.40/13,282.56 = 6,041.92/x
  3. Step 3: Cross multiply
    9,624.40x = 13,282.56 × 6,041.92
  4. Step 4: Simplify right side
    9,624.40x = 80,252,164.92
  5. Step 5: Solve for x
    x = 80,252,164.92/9,624.40
  6. Step 6: Final answer
    x = 8,338.41

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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.