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Finding the Fourth Proportional to 9,553.84, 13,184.42 and 5,362

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Solution

The fourth proportional to 9,553.84, 13,184.42 and 5,362 is: 7,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,553.84 : 13,184.42 = 5,362 : x
  2. Step 2: Convert to fraction form
    9,553.84/13,184.42 = 5,362/x
  3. Step 3: Cross multiply
    9,553.84x = 13,184.42 × 5,362
  4. Step 4: Simplify right side
    9,553.84x = 70,694,860.04
  5. Step 5: Solve for x
    x = 70,694,860.04/9,553.84
  6. Step 6: Final answer
    x = 7,399.63

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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.