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Finding the Fourth Proportional to 9,794.20, 14,697.14 and 3,554.70

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Solution

The fourth proportional to 9,794.20, 14,697.14 and 3,554.70 is: 5,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.20 : 14,697.14 = 3,554.70 : x
  2. Step 2: Convert to fraction form
    9,794.20/14,697.14 = 3,554.70/x
  3. Step 3: Cross multiply
    9,794.20x = 14,697.14 × 3,554.70
  4. Step 4: Simplify right side
    9,794.20x = 52,243,969.19
  5. Step 5: Solve for x
    x = 52,243,969.19/9,794.20
  6. Step 6: Final answer
    x = 5,334.17

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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.