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Finding the Fourth Proportional to 9,401.76, 14,102.74 and 4,471.90

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Solution

The fourth proportional to 9,401.76, 14,102.74 and 4,471.90 is: 6,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.76 : 14,102.74 = 4,471.90 : x
  2. Step 2: Convert to fraction form
    9,401.76/14,102.74 = 4,471.90/x
  3. Step 3: Cross multiply
    9,401.76x = 14,102.74 × 4,471.90
  4. Step 4: Simplify right side
    9,401.76x = 63,065,972.49
  5. Step 5: Solve for x
    x = 63,065,972.49/9,401.76
  6. Step 6: Final answer
    x = 6,707.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.