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Finding the Fourth Proportional to 9,482.96, 13,059.88 and 9,278.80

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Solution

The fourth proportional to 9,482.96, 13,059.88 and 9,278.80 is: 12,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.96 : 13,059.88 = 9,278.80 : x
  2. Step 2: Convert to fraction form
    9,482.96/13,059.88 = 9,278.80/x
  3. Step 3: Cross multiply
    9,482.96x = 13,059.88 × 9,278.80
  4. Step 4: Simplify right side
    9,482.96x = 121,180,014.54
  5. Step 5: Solve for x
    x = 121,180,014.54/9,482.96
  6. Step 6: Final answer
    x = 12,778.71

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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.