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Finding the Fourth Proportional to 9,401.84, 12,975.90 and 5,422.16

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Solution

The fourth proportional to 9,401.84, 12,975.90 and 5,422.16 is: 7,483.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.84 : 12,975.90 = 5,422.16 : x
  2. Step 2: Convert to fraction form
    9,401.84/12,975.90 = 5,422.16/x
  3. Step 3: Cross multiply
    9,401.84x = 12,975.90 × 5,422.16
  4. Step 4: Simplify right side
    9,401.84x = 70,357,405.94
  5. Step 5: Solve for x
    x = 70,357,405.94/9,401.84
  6. Step 6: Final answer
    x = 7,483.37

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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.