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Finding the Fourth Proportional to 10,238, 14,118 and 9,642.80

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Solution

The fourth proportional to 10,238, 14,118 and 9,642.80 is: 13,297.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,238 : 14,118 = 9,642.80 : x
  2. Step 2: Convert to fraction form
    10,238/14,118 = 9,642.80/x
  3. Step 3: Cross multiply
    10,238x = 14,118 × 9,642.80
  4. Step 4: Simplify right side
    10,238x = 136,137,050.40
  5. Step 5: Solve for x
    x = 136,137,050.40/10,238
  6. Step 6: Final answer
    x = 13,297.23

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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.