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Finding the Fourth Proportional to 10,029.34, 13,842.12 and 9,586.41

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Solution

The fourth proportional to 10,029.34, 13,842.12 and 9,586.41 is: 13,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.34 : 13,842.12 = 9,586.41 : x
  2. Step 2: Convert to fraction form
    10,029.34/13,842.12 = 9,586.41/x
  3. Step 3: Cross multiply
    10,029.34x = 13,842.12 × 9,586.41
  4. Step 4: Simplify right side
    10,029.34x = 132,696,237.59
  5. Step 5: Solve for x
    x = 132,696,237.59/10,029.34
  6. Step 6: Final answer
    x = 13,230.80

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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.