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Finding the Fourth Proportional to 7,104.65, 9,803.30 and 4,119.86

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Solution

The fourth proportional to 7,104.65, 9,803.30 and 4,119.86 is: 5,684.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.65 : 9,803.30 = 4,119.86 : x
  2. Step 2: Convert to fraction form
    7,104.65/9,803.30 = 4,119.86/x
  3. Step 3: Cross multiply
    7,104.65x = 9,803.30 × 4,119.86
  4. Step 4: Simplify right side
    7,104.65x = 40,388,227.45
  5. Step 5: Solve for x
    x = 40,388,227.45/7,104.65
  6. Step 6: Final answer
    x = 5,684.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.