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Finding the Fourth Proportional to 7,100.16, 9,798.23 and 4,117.73

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Solution

The fourth proportional to 7,100.16, 9,798.23 and 4,117.73 is: 5,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.16 : 9,798.23 = 4,117.73 : x
  2. Step 2: Convert to fraction form
    7,100.16/9,798.23 = 4,117.73/x
  3. Step 3: Cross multiply
    7,100.16x = 9,798.23 × 4,117.73
  4. Step 4: Simplify right side
    7,100.16x = 40,346,465.62
  5. Step 5: Solve for x
    x = 40,346,465.62/7,100.16
  6. Step 6: Final answer
    x = 5,682.47

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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.