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Finding the Fourth Proportional to 10,238.84, 14,122.35 and 9,895.91

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Solution

The fourth proportional to 10,238.84, 14,122.35 and 9,895.91 is: 13,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238.84 : 14,122.35 = 9,895.91 : x
  2. Step 2: Convert to fraction form
    10,238.84/14,122.35 = 9,895.91/x
  3. Step 3: Cross multiply
    10,238.84x = 14,122.35 × 9,895.91
  4. Step 4: Simplify right side
    10,238.84x = 139,753,433.98
  5. Step 5: Solve for x
    x = 139,753,433.98/10,238.84
  6. Step 6: Final answer
    x = 13,649.34

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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.