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Finding the Fourth Proportional to 9,804.06, 13,527.81 and 5,826.15

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Solution

The fourth proportional to 9,804.06, 13,527.81 and 5,826.15 is: 8,039.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.06 : 13,527.81 = 5,826.15 : x
  2. Step 2: Convert to fraction form
    9,804.06/13,527.81 = 5,826.15/x
  3. Step 3: Cross multiply
    9,804.06x = 13,527.81 × 5,826.15
  4. Step 4: Simplify right side
    9,804.06x = 78,815,050.23
  5. Step 5: Solve for x
    x = 78,815,050.23/9,804.06
  6. Step 6: Final answer
    x = 8,039.02

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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.