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Finding the Fourth Proportional to 9,809.98, 13,537.63 and 5,333.62

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Solution

The fourth proportional to 9,809.98, 13,537.63 and 5,333.62 is: 7,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.98 : 13,537.63 = 5,333.62 : x
  2. Step 2: Convert to fraction form
    9,809.98/13,537.63 = 5,333.62/x
  3. Step 3: Cross multiply
    9,809.98x = 13,537.63 × 5,333.62
  4. Step 4: Simplify right side
    9,809.98x = 72,204,574.12
  5. Step 5: Solve for x
    x = 72,204,574.12/9,809.98
  6. Step 6: Final answer
    x = 7,360.32

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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.