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Finding the Fourth Proportional to 9,385.42, 12,951.14 and 5,406.85

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Solution

The fourth proportional to 9,385.42, 12,951.14 and 5,406.85 is: 7,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.42 : 12,951.14 = 5,406.85 : x
  2. Step 2: Convert to fraction form
    9,385.42/12,951.14 = 5,406.85/x
  3. Step 3: Cross multiply
    9,385.42x = 12,951.14 × 5,406.85
  4. Step 4: Simplify right side
    9,385.42x = 70,024,890.88
  5. Step 5: Solve for x
    x = 70,024,890.88/9,385.42
  6. Step 6: Final answer
    x = 7,461.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.