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Finding the Fourth Proportional to 9,537.84, 13,166.82 and 6,356.43

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Solution

The fourth proportional to 9,537.84, 13,166.82 and 6,356.43 is: 8,774.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.84 : 13,166.82 = 6,356.43 : x
  2. Step 2: Convert to fraction form
    9,537.84/13,166.82 = 6,356.43/x
  3. Step 3: Cross multiply
    9,537.84x = 13,166.82 × 6,356.43
  4. Step 4: Simplify right side
    9,537.84x = 83,693,969.65
  5. Step 5: Solve for x
    x = 83,693,969.65/9,537.84
  6. Step 6: Final answer
    x = 8,774.94

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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.