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Finding the Fourth Proportional to 9,794.80, 14,669.70 and 8,045.20

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Solution

The fourth proportional to 9,794.80, 14,669.70 and 8,045.20 is: 12,049.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.80 : 14,669.70 = 8,045.20 : x
  2. Step 2: Convert to fraction form
    9,794.80/14,669.70 = 8,045.20/x
  3. Step 3: Cross multiply
    9,794.80x = 14,669.70 × 8,045.20
  4. Step 4: Simplify right side
    9,794.80x = 118,020,670.44
  5. Step 5: Solve for x
    x = 118,020,670.44/9,794.80
  6. Step 6: Final answer
    x = 12,049.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.