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Finding the Fourth Proportional to 9,804.06, 13,528.08 and 5,825.07

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Solution

The fourth proportional to 9,804.06, 13,528.08 and 5,825.07 is: 8,037.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.06 : 13,528.08 = 5,825.07 : x
  2. Step 2: Convert to fraction form
    9,804.06/13,528.08 = 5,825.07/x
  3. Step 3: Cross multiply
    9,804.06x = 13,528.08 × 5,825.07
  4. Step 4: Simplify right side
    9,804.06x = 78,802,012.97
  5. Step 5: Solve for x
    x = 78,802,012.97/9,804.06
  6. Step 6: Final answer
    x = 8,037.69

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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.