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Finding the Fourth Proportional to 9,403.60, 14,104.86 and 2,829.64

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Solution

The fourth proportional to 9,403.60, 14,104.86 and 2,829.64 is: 4,244.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,403.60 : 14,104.86 = 2,829.64 : x
  2. Step 2: Convert to fraction form
    9,403.60/14,104.86 = 2,829.64/x
  3. Step 3: Cross multiply
    9,403.60x = 14,104.86 × 2,829.64
  4. Step 4: Simplify right side
    9,403.60x = 39,911,676.05
  5. Step 5: Solve for x
    x = 39,911,676.05/9,403.60
  6. Step 6: Final answer
    x = 4,244.30

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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.