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Finding the Fourth Proportional to 9,280.10, 13,919.88 and 2,354.60

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Solution

The fourth proportional to 9,280.10, 13,919.88 and 2,354.60 is: 3,531.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.10 : 13,919.88 = 2,354.60 : x
  2. Step 2: Convert to fraction form
    9,280.10/13,919.88 = 2,354.60/x
  3. Step 3: Cross multiply
    9,280.10x = 13,919.88 × 2,354.60
  4. Step 4: Simplify right side
    9,280.10x = 32,775,749.45
  5. Step 5: Solve for x
    x = 32,775,749.45/9,280.10
  6. Step 6: Final answer
    x = 3,531.83

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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.