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Finding the Fourth Proportional to 7,100.24, 9,798.40 and 3,913.65

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Solution

The fourth proportional to 7,100.24, 9,798.40 and 3,913.65 is: 5,400.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.24 : 9,798.40 = 3,913.65 : x
  2. Step 2: Convert to fraction form
    7,100.24/9,798.40 = 3,913.65/x
  3. Step 3: Cross multiply
    7,100.24x = 9,798.40 × 3,913.65
  4. Step 4: Simplify right side
    7,100.24x = 38,347,508.16
  5. Step 5: Solve for x
    x = 38,347,508.16/7,100.24
  6. Step 6: Final answer
    x = 5,400.87

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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.