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Finding the Fourth Proportional to 10,038.49, 13,855.41 and 6,681.43

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Solution

The fourth proportional to 10,038.49, 13,855.41 and 6,681.43 is: 9,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038.49 : 13,855.41 = 6,681.43 : x
  2. Step 2: Convert to fraction form
    10,038.49/13,855.41 = 6,681.43/x
  3. Step 3: Cross multiply
    10,038.49x = 13,855.41 × 6,681.43
  4. Step 4: Simplify right side
    10,038.49x = 92,573,952.04
  5. Step 5: Solve for x
    x = 92,573,952.04/10,038.49
  6. Step 6: Final answer
    x = 9,221.90

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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.