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Finding the Fourth Proportional to 9,456.96, 14,180.58 and 4,260

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Solution

The fourth proportional to 9,456.96, 14,180.58 and 4,260 is: 6,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.96 : 14,180.58 = 4,260 : x
  2. Step 2: Convert to fraction form
    9,456.96/14,180.58 = 4,260/x
  3. Step 3: Cross multiply
    9,456.96x = 14,180.58 × 4,260
  4. Step 4: Simplify right side
    9,456.96x = 60,409,270.80
  5. Step 5: Solve for x
    x = 60,409,270.80/9,456.96
  6. Step 6: Final answer
    x = 6,387.81

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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.