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Finding the Fourth Proportional to 9,672.21, 14,506.90 and 4,740.53

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Solution

The fourth proportional to 9,672.21, 14,506.90 and 4,740.53 is: 7,110.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.21 : 14,506.90 = 4,740.53 : x
  2. Step 2: Convert to fraction form
    9,672.21/14,506.90 = 4,740.53/x
  3. Step 3: Cross multiply
    9,672.21x = 14,506.90 × 4,740.53
  4. Step 4: Simplify right side
    9,672.21x = 68,770,310.27
  5. Step 5: Solve for x
    x = 68,770,310.27/9,672.21
  6. Step 6: Final answer
    x = 7,110.09

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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.