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Finding the Fourth Proportional to 9,809.84, 13,537.60 and 5,333.65

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Solution

The fourth proportional to 9,809.84, 13,537.60 and 5,333.65 is: 7,360.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.84 : 13,537.60 = 5,333.65 : x
  2. Step 2: Convert to fraction form
    9,809.84/13,537.60 = 5,333.65/x
  3. Step 3: Cross multiply
    9,809.84x = 13,537.60 × 5,333.65
  4. Step 4: Simplify right side
    9,809.84x = 72,204,773.06
  5. Step 5: Solve for x
    x = 72,204,773.06/9,809.84
  6. Step 6: Final answer
    x = 7,360.44

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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.