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Finding the Fourth Proportional to 9,806.96, 13,532.60 and 6,030.36

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Solution

The fourth proportional to 9,806.96, 13,532.60 and 6,030.36 is: 8,321.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.96 : 13,532.60 = 6,030.36 : x
  2. Step 2: Convert to fraction form
    9,806.96/13,532.60 = 6,030.36/x
  3. Step 3: Cross multiply
    9,806.96x = 13,532.60 × 6,030.36
  4. Step 4: Simplify right side
    9,806.96x = 81,606,449.74
  5. Step 5: Solve for x
    x = 81,606,449.74/9,806.96
  6. Step 6: Final answer
    x = 8,321.28

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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.