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Finding the Fourth Proportional to 9,354.42, 14,024.22 and 4,671.85

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Solution

The fourth proportional to 9,354.42, 14,024.22 and 4,671.85 is: 7,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.42 : 14,024.22 = 4,671.85 : x
  2. Step 2: Convert to fraction form
    9,354.42/14,024.22 = 4,671.85/x
  3. Step 3: Cross multiply
    9,354.42x = 14,024.22 × 4,671.85
  4. Step 4: Simplify right side
    9,354.42x = 65,519,040.53
  5. Step 5: Solve for x
    x = 65,519,040.53/9,354.42
  6. Step 6: Final answer
    x = 7,004.07

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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.