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Finding the Fourth Proportional to 6,083.12, 9,133.32 and 5,804.72

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Solution

The fourth proportional to 6,083.12, 9,133.32 and 5,804.72 is: 8,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,083.12 : 9,133.32 = 5,804.72 : x
  2. Step 2: Convert to fraction form
    6,083.12/9,133.32 = 5,804.72/x
  3. Step 3: Cross multiply
    6,083.12x = 9,133.32 × 5,804.72
  4. Step 4: Simplify right side
    6,083.12x = 53,016,365.27
  5. Step 5: Solve for x
    x = 53,016,365.27/6,083.12
  6. Step 6: Final answer
    x = 8,715.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.