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Finding the Fourth Proportional to 9,803.70, 14,703.99 and 8,148.45

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Solution

The fourth proportional to 9,803.70, 14,703.99 and 8,148.45 is: 12,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 14,703.99 = 8,148.45 : x
  2. Step 2: Convert to fraction form
    9,803.70/14,703.99 = 8,148.45/x
  3. Step 3: Cross multiply
    9,803.70x = 14,703.99 × 8,148.45
  4. Step 4: Simplify right side
    9,803.70x = 119,814,653.80
  5. Step 5: Solve for x
    x = 119,814,653.80/9,803.70
  6. Step 6: Final answer
    x = 12,221.38

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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.