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Finding the Fourth Proportional to 7,057.07, 9,739.46 and 3,913.87

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Solution

The fourth proportional to 7,057.07, 9,739.46 and 3,913.87 is: 5,401.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.07 : 9,739.46 = 3,913.87 : x
  2. Step 2: Convert to fraction form
    7,057.07/9,739.46 = 3,913.87/x
  3. Step 3: Cross multiply
    7,057.07x = 9,739.46 × 3,913.87
  4. Step 4: Simplify right side
    7,057.07x = 38,118,980.31
  5. Step 5: Solve for x
    x = 38,118,980.31/7,057.07
  6. Step 6: Final answer
    x = 5,401.53

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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.