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Finding the Fourth Proportional to 9,401, 12,973.47 and 5,209.34

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Solution

The fourth proportional to 9,401, 12,973.47 and 5,209.34 is: 7,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401 : 12,973.47 = 5,209.34 : x
  2. Step 2: Convert to fraction form
    9,401/12,973.47 = 5,209.34/x
  3. Step 3: Cross multiply
    9,401x = 12,973.47 × 5,209.34
  4. Step 4: Simplify right side
    9,401x = 67,583,216.21
  5. Step 5: Solve for x
    x = 67,583,216.21/9,401
  6. Step 6: Final answer
    x = 7,188.94

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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.