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Finding the Fourth Proportional to 9,827.93, 13,563.62 and 6,050.33

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Solution

The fourth proportional to 9,827.93, 13,563.62 and 6,050.33 is: 8,350.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.93 : 13,563.62 = 6,050.33 : x
  2. Step 2: Convert to fraction form
    9,827.93/13,563.62 = 6,050.33/x
  3. Step 3: Cross multiply
    9,827.93x = 13,563.62 × 6,050.33
  4. Step 4: Simplify right side
    9,827.93x = 82,064,403.34
  5. Step 5: Solve for x
    x = 82,064,403.34/9,827.93
  6. Step 6: Final answer
    x = 8,350.13

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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.