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Finding the Fourth Proportional to 9,594.81, 14,394.69 and 3,021.12

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Solution

The fourth proportional to 9,594.81, 14,394.69 and 3,021.12 is: 4,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,594.81 : 14,394.69 = 3,021.12 : x
  2. Step 2: Convert to fraction form
    9,594.81/14,394.69 = 3,021.12/x
  3. Step 3: Cross multiply
    9,594.81x = 14,394.69 × 3,021.12
  4. Step 4: Simplify right side
    9,594.81x = 43,488,085.85
  5. Step 5: Solve for x
    x = 43,488,085.85/9,594.81
  6. Step 6: Final answer
    x = 4,532.46

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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.