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Finding the Fourth Proportional to 9,670.80, 14,506.20 and 8,650.20

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Solution

The fourth proportional to 9,670.80, 14,506.20 and 8,650.20 is: 12,975.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.80 : 14,506.20 = 8,650.20 : x
  2. Step 2: Convert to fraction form
    9,670.80/14,506.20 = 8,650.20/x
  3. Step 3: Cross multiply
    9,670.80x = 14,506.20 × 8,650.20
  4. Step 4: Simplify right side
    9,670.80x = 125,481,531.24
  5. Step 5: Solve for x
    x = 125,481,531.24/9,670.80
  6. Step 6: Final answer
    x = 12,975.30

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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.