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Finding the Fourth Proportional to 9,837.19, 13,563.50 and 8,038.02

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Solution

The fourth proportional to 9,837.19, 13,563.50 and 8,038.02 is: 11,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.19 : 13,563.50 = 8,038.02 : x
  2. Step 2: Convert to fraction form
    9,837.19/13,563.50 = 8,038.02/x
  3. Step 3: Cross multiply
    9,837.19x = 13,563.50 × 8,038.02
  4. Step 4: Simplify right side
    9,837.19x = 109,023,684.27
  5. Step 5: Solve for x
    x = 109,023,684.27/9,837.19
  6. Step 6: Final answer
    x = 11,082.81

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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.