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Finding the Fourth Proportional to 9,704.80, 14,545 and 4,151.62

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Solution

The fourth proportional to 9,704.80, 14,545 and 4,151.62 is: 6,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.80 : 14,545 = 4,151.62 : x
  2. Step 2: Convert to fraction form
    9,704.80/14,545 = 4,151.62/x
  3. Step 3: Cross multiply
    9,704.80x = 14,545 × 4,151.62
  4. Step 4: Simplify right side
    9,704.80x = 60,385,312.90
  5. Step 5: Solve for x
    x = 60,385,312.90/9,704.80
  6. Step 6: Final answer
    x = 6,222.21

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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.