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Finding the Fourth Proportional to 6,537.84, 9,022.59 and 3,849.95

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Solution

The fourth proportional to 6,537.84, 9,022.59 and 3,849.95 is: 5,313.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.84 : 9,022.59 = 3,849.95 : x
  2. Step 2: Convert to fraction form
    6,537.84/9,022.59 = 3,849.95/x
  3. Step 3: Cross multiply
    6,537.84x = 9,022.59 × 3,849.95
  4. Step 4: Simplify right side
    6,537.84x = 34,736,475.26
  5. Step 5: Solve for x
    x = 34,736,475.26/6,537.84
  6. Step 6: Final answer
    x = 5,313.14

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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.