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Finding the Fourth Proportional to 9,735.75, 14,606.10 and 2,810.25

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Solution

The fourth proportional to 9,735.75, 14,606.10 and 2,810.25 is: 4,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.75 : 14,606.10 = 2,810.25 : x
  2. Step 2: Convert to fraction form
    9,735.75/14,606.10 = 2,810.25/x
  3. Step 3: Cross multiply
    9,735.75x = 14,606.10 × 2,810.25
  4. Step 4: Simplify right side
    9,735.75x = 41,046,792.53
  5. Step 5: Solve for x
    x = 41,046,792.53/9,735.75
  6. Step 6: Final answer
    x = 4,216.09

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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.