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Finding the Fourth Proportional to 9,804.20, 13,536.84 and 6,032.42

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Solution

The fourth proportional to 9,804.20, 13,536.84 and 6,032.42 is: 8,329.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.20 : 13,536.84 = 6,032.42 : x
  2. Step 2: Convert to fraction form
    9,804.20/13,536.84 = 6,032.42/x
  3. Step 3: Cross multiply
    9,804.20x = 13,536.84 × 6,032.42
  4. Step 4: Simplify right side
    9,804.20x = 81,659,904.35
  5. Step 5: Solve for x
    x = 81,659,904.35/9,804.20
  6. Step 6: Final answer
    x = 8,329.07

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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.