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Finding the Fourth Proportional to 9,633.64, 14,450.46 and 4,700.20

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Solution

The fourth proportional to 9,633.64, 14,450.46 and 4,700.20 is: 7,050.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.64 : 14,450.46 = 4,700.20 : x
  2. Step 2: Convert to fraction form
    9,633.64/14,450.46 = 4,700.20/x
  3. Step 3: Cross multiply
    9,633.64x = 14,450.46 × 4,700.20
  4. Step 4: Simplify right side
    9,633.64x = 67,920,052.09
  5. Step 5: Solve for x
    x = 67,920,052.09/9,633.64
  6. Step 6: Final answer
    x = 7,050.30

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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.