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Finding the Fourth Proportional to 9,401.82, 12,971.08 and 5,625.09

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Solution

The fourth proportional to 9,401.82, 12,971.08 and 5,625.09 is: 7,760.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.82 : 12,971.08 = 5,625.09 : x
  2. Step 2: Convert to fraction form
    9,401.82/12,971.08 = 5,625.09/x
  3. Step 3: Cross multiply
    9,401.82x = 12,971.08 × 5,625.09
  4. Step 4: Simplify right side
    9,401.82x = 72,963,492.40
  5. Step 5: Solve for x
    x = 72,963,492.40/9,401.82
  6. Step 6: Final answer
    x = 7,760.57

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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.