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Finding the Fourth Proportional to 6,277.34, 9,406.04 and 3,315.69

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Solution

The fourth proportional to 6,277.34, 9,406.04 and 3,315.69 is: 4,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.34 : 9,406.04 = 3,315.69 : x
  2. Step 2: Convert to fraction form
    6,277.34/9,406.04 = 3,315.69/x
  3. Step 3: Cross multiply
    6,277.34x = 9,406.04 × 3,315.69
  4. Step 4: Simplify right side
    6,277.34x = 31,187,496.19
  5. Step 5: Solve for x
    x = 31,187,496.19/6,277.34
  6. Step 6: Final answer
    x = 4,968.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.