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Finding the Fourth Proportional to 7,114.57, 9,816.58 and 4,128.81

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Solution

The fourth proportional to 7,114.57, 9,816.58 and 4,128.81 is: 5,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.57 : 9,816.58 = 4,128.81 : x
  2. Step 2: Convert to fraction form
    7,114.57/9,816.58 = 4,128.81/x
  3. Step 3: Cross multiply
    7,114.57x = 9,816.58 × 4,128.81
  4. Step 4: Simplify right side
    7,114.57x = 40,530,762.02
  5. Step 5: Solve for x
    x = 40,530,762.02/7,114.57
  6. Step 6: Final answer
    x = 5,696.86

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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.