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Finding the Fourth Proportional to 9,586.03, 14,363.09 and 3,342.60

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Solution

The fourth proportional to 9,586.03, 14,363.09 and 3,342.60 is: 5,008.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.03 : 14,363.09 = 3,342.60 : x
  2. Step 2: Convert to fraction form
    9,586.03/14,363.09 = 3,342.60/x
  3. Step 3: Cross multiply
    9,586.03x = 14,363.09 × 3,342.60
  4. Step 4: Simplify right side
    9,586.03x = 48,010,072.99
  5. Step 5: Solve for x
    x = 48,010,072.99/9,586.03
  6. Step 6: Final answer
    x = 5,008.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.