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Finding the Fourth Proportional to 7,114.06, 9,817.83 and 3,970.45

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Solution

The fourth proportional to 7,114.06, 9,817.83 and 3,970.45 is: 5,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.06 : 9,817.83 = 3,970.45 : x
  2. Step 2: Convert to fraction form
    7,114.06/9,817.83 = 3,970.45/x
  3. Step 3: Cross multiply
    7,114.06x = 9,817.83 × 3,970.45
  4. Step 4: Simplify right side
    7,114.06x = 38,981,134.18
  5. Step 5: Solve for x
    x = 38,981,134.18/7,114.06
  6. Step 6: Final answer
    x = 5,479.45

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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.