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Finding the Fourth Proportional to 9,682.40, 14,512.80 and 5,000.60

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Solution

The fourth proportional to 9,682.40, 14,512.80 and 5,000.60 is: 7,495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.40 : 14,512.80 = 5,000.60 : x
  2. Step 2: Convert to fraction form
    9,682.40/14,512.80 = 5,000.60/x
  3. Step 3: Cross multiply
    9,682.40x = 14,512.80 × 5,000.60
  4. Step 4: Simplify right side
    9,682.40x = 72,572,707.68
  5. Step 5: Solve for x
    x = 72,572,707.68/9,682.40
  6. Step 6: Final answer
    x = 7,495.32

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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.