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Finding the Fourth Proportional to 7,106.43, 9,809.00 and 4,123.61

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Solution

The fourth proportional to 7,106.43, 9,809.00 and 4,123.61 is: 5,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.43 : 9,809.00 = 4,123.61 : x
  2. Step 2: Convert to fraction form
    7,106.43/9,809.00 = 4,123.61/x
  3. Step 3: Cross multiply
    7,106.43x = 9,809.00 × 4,123.61
  4. Step 4: Simplify right side
    7,106.43x = 40,448,473.07
  5. Step 5: Solve for x
    x = 40,448,473.07/7,106.43
  6. Step 6: Final answer
    x = 5,691.81

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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.