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Finding the Fourth Proportional to 9,585.49, 14,379.59 and 3,012.21

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Solution

The fourth proportional to 9,585.49, 14,379.59 and 3,012.21 is: 4,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.49 : 14,379.59 = 3,012.21 : x
  2. Step 2: Convert to fraction form
    9,585.49/14,379.59 = 3,012.21/x
  3. Step 3: Cross multiply
    9,585.49x = 14,379.59 × 3,012.21
  4. Step 4: Simplify right side
    9,585.49x = 43,314,344.79
  5. Step 5: Solve for x
    x = 43,314,344.79/9,585.49
  6. Step 6: Final answer
    x = 4,518.74

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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.