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Finding the Fourth Proportional to 9,735.19, 14,605.21 and 2,809.69

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Solution

The fourth proportional to 9,735.19, 14,605.21 and 2,809.69 is: 4,215.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.19 : 14,605.21 = 2,809.69 : x
  2. Step 2: Convert to fraction form
    9,735.19/14,605.21 = 2,809.69/x
  3. Step 3: Cross multiply
    9,735.19x = 14,605.21 × 2,809.69
  4. Step 4: Simplify right side
    9,735.19x = 41,036,079.48
  5. Step 5: Solve for x
    x = 41,036,079.48/9,735.19
  6. Step 6: Final answer
    x = 4,215.23

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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.