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Finding the Fourth Proportional to 6,710.96, 9,263.40 and 3,918.80

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Solution

The fourth proportional to 6,710.96, 9,263.40 and 3,918.80 is: 5,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.96 : 9,263.40 = 3,918.80 : x
  2. Step 2: Convert to fraction form
    6,710.96/9,263.40 = 3,918.80/x
  3. Step 3: Cross multiply
    6,710.96x = 9,263.40 × 3,918.80
  4. Step 4: Simplify right side
    6,710.96x = 36,301,411.92
  5. Step 5: Solve for x
    x = 36,301,411.92/6,710.96
  6. Step 6: Final answer
    x = 5,409.27

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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.