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Finding the Fourth Proportional to 9,796.21, 14,696.80 and 4,535.02

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Solution

The fourth proportional to 9,796.21, 14,696.80 and 4,535.02 is: 6,803.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.21 : 14,696.80 = 4,535.02 : x
  2. Step 2: Convert to fraction form
    9,796.21/14,696.80 = 4,535.02/x
  3. Step 3: Cross multiply
    9,796.21x = 14,696.80 × 4,535.02
  4. Step 4: Simplify right side
    9,796.21x = 66,650,219.05
  5. Step 5: Solve for x
    x = 66,650,219.05/9,796.21
  6. Step 6: Final answer
    x = 6,803.67

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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.