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Finding the Fourth Proportional to 6,825.14, 9,417.93 and 3,842

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Solution

The fourth proportional to 6,825.14, 9,417.93 and 3,842 is: 5,301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.14 : 9,417.93 = 3,842 : x
  2. Step 2: Convert to fraction form
    6,825.14/9,417.93 = 3,842/x
  3. Step 3: Cross multiply
    6,825.14x = 9,417.93 × 3,842
  4. Step 4: Simplify right side
    6,825.14x = 36,183,687.06
  5. Step 5: Solve for x
    x = 36,183,687.06/6,825.14
  6. Step 6: Final answer
    x = 5,301.53

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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.