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Finding the Fourth Proportional to 10,038.22, 13,868.49 and 6,911.08

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Solution

The fourth proportional to 10,038.22, 13,868.49 and 6,911.08 is: 9,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.22 : 13,868.49 = 6,911.08 : x
  2. Step 2: Convert to fraction form
    10,038.22/13,868.49 = 6,911.08/x
  3. Step 3: Cross multiply
    10,038.22x = 13,868.49 × 6,911.08
  4. Step 4: Simplify right side
    10,038.22x = 95,846,243.87
  5. Step 5: Solve for x
    x = 95,846,243.87/10,038.22
  6. Step 6: Final answer
    x = 9,548.13

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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.