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Finding the Fourth Proportional to 7,114.37, 9,816.93 and 3,970.69

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Solution

The fourth proportional to 7,114.37, 9,816.93 and 3,970.69 is: 5,479.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.37 : 9,816.93 = 3,970.69 : x
  2. Step 2: Convert to fraction form
    7,114.37/9,816.93 = 3,970.69/x
  3. Step 3: Cross multiply
    7,114.37x = 9,816.93 × 3,970.69
  4. Step 4: Simplify right side
    7,114.37x = 38,979,965.93
  5. Step 5: Solve for x
    x = 38,979,965.93/7,114.37
  6. Step 6: Final answer
    x = 5,479.05

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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.