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Finding the Fourth Proportional to 9,824.40, 13,559.94 and 6,237.18

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Solution

The fourth proportional to 9,824.40, 13,559.94 and 6,237.18 is: 8,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.40 : 13,559.94 = 6,237.18 : x
  2. Step 2: Convert to fraction form
    9,824.40/13,559.94 = 6,237.18/x
  3. Step 3: Cross multiply
    9,824.40x = 13,559.94 × 6,237.18
  4. Step 4: Simplify right side
    9,824.40x = 84,575,786.57
  5. Step 5: Solve for x
    x = 84,575,786.57/9,824.40
  6. Step 6: Final answer
    x = 8,608.75

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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.