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Finding the Fourth Proportional to 9,500.67, 14,232.55 and 4,573.77

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Solution

The fourth proportional to 9,500.67, 14,232.55 and 4,573.77 is: 6,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.67 : 14,232.55 = 4,573.77 : x
  2. Step 2: Convert to fraction form
    9,500.67/14,232.55 = 4,573.77/x
  3. Step 3: Cross multiply
    9,500.67x = 14,232.55 × 4,573.77
  4. Step 4: Simplify right side
    9,500.67x = 65,096,410.21
  5. Step 5: Solve for x
    x = 65,096,410.21/9,500.67
  6. Step 6: Final answer
    x = 6,851.77

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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.