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Finding the Fourth Proportional to 9,554.92, 13,185.74 and 5,363.18

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Solution

The fourth proportional to 9,554.92, 13,185.74 and 5,363.18 is: 7,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.92 : 13,185.74 = 5,363.18 : x
  2. Step 2: Convert to fraction form
    9,554.92/13,185.74 = 5,363.18/x
  3. Step 3: Cross multiply
    9,554.92x = 13,185.74 × 5,363.18
  4. Step 4: Simplify right side
    9,554.92x = 70,717,497.05
  5. Step 5: Solve for x
    x = 70,717,497.05/9,554.92
  6. Step 6: Final answer
    x = 7,401.16

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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.