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Finding the Fourth Proportional to 7,057.50, 9,739.40 and 3,913.70

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Solution

The fourth proportional to 7,057.50, 9,739.40 and 3,913.70 is: 5,400.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.50 : 9,739.40 = 3,913.70 : x
  2. Step 2: Convert to fraction form
    7,057.50/9,739.40 = 3,913.70/x
  3. Step 3: Cross multiply
    7,057.50x = 9,739.40 × 3,913.70
  4. Step 4: Simplify right side
    7,057.50x = 38,117,021.51
  5. Step 5: Solve for x
    x = 38,117,021.51/7,057.50
  6. Step 6: Final answer
    x = 5,400.92

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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.