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Finding the Fourth Proportional to 9,416.40, 14,122.80 and 2,842.80

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Solution

The fourth proportional to 9,416.40, 14,122.80 and 2,842.80 is: 4,263.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.40 : 14,122.80 = 2,842.80 : x
  2. Step 2: Convert to fraction form
    9,416.40/14,122.80 = 2,842.80/x
  3. Step 3: Cross multiply
    9,416.40x = 14,122.80 × 2,842.80
  4. Step 4: Simplify right side
    9,416.40x = 40,148,295.84
  5. Step 5: Solve for x
    x = 40,148,295.84/9,416.40
  6. Step 6: Final answer
    x = 4,263.66

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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.