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Finding the Fourth Proportional to 9,401.23, 12,970.18 and 5,420.89

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Solution

The fourth proportional to 9,401.23, 12,970.18 and 5,420.89 is: 7,478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.23 : 12,970.18 = 5,420.89 : x
  2. Step 2: Convert to fraction form
    9,401.23/12,970.18 = 5,420.89/x
  3. Step 3: Cross multiply
    9,401.23x = 12,970.18 × 5,420.89
  4. Step 4: Simplify right side
    9,401.23x = 70,309,919.06
  5. Step 5: Solve for x
    x = 70,309,919.06/9,401.23
  6. Step 6: Final answer
    x = 7,478.80

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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.