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Finding the Fourth Proportional to 9,500.10, 14,264.55 and 7,311.30

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Solution

The fourth proportional to 9,500.10, 14,264.55 and 7,311.30 is: 10,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.10 : 14,264.55 = 7,311.30 : x
  2. Step 2: Convert to fraction form
    9,500.10/14,264.55 = 7,311.30/x
  3. Step 3: Cross multiply
    9,500.10x = 14,264.55 × 7,311.30
  4. Step 4: Simplify right side
    9,500.10x = 104,292,404.42
  5. Step 5: Solve for x
    x = 104,292,404.42/9,500.10
  6. Step 6: Final answer
    x = 10,978.03

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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.