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Finding the Fourth Proportional to 9,586.28, 14,379.90 and 3,012.53

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Solution

The fourth proportional to 9,586.28, 14,379.90 and 3,012.53 is: 4,518.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.28 : 14,379.90 = 3,012.53 : x
  2. Step 2: Convert to fraction form
    9,586.28/14,379.90 = 3,012.53/x
  3. Step 3: Cross multiply
    9,586.28x = 14,379.90 × 3,012.53
  4. Step 4: Simplify right side
    9,586.28x = 43,319,808.25
  5. Step 5: Solve for x
    x = 43,319,808.25/9,586.28
  6. Step 6: Final answer
    x = 4,518.94

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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.