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Finding the Fourth Proportional to 7,028.75, 9,699.76 and 3,842.10

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Solution

The fourth proportional to 7,028.75, 9,699.76 and 3,842.10 is: 5,302.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.75 : 9,699.76 = 3,842.10 : x
  2. Step 2: Convert to fraction form
    7,028.75/9,699.76 = 3,842.10/x
  3. Step 3: Cross multiply
    7,028.75x = 9,699.76 × 3,842.10
  4. Step 4: Simplify right side
    7,028.75x = 37,267,489.07
  5. Step 5: Solve for x
    x = 37,267,489.07/7,028.75
  6. Step 6: Final answer
    x = 5,302.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.