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Finding the Fourth Proportional to 6,302.98, 9,444.66 and 2,405.26

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Solution

The fourth proportional to 6,302.98, 9,444.66 and 2,405.26 is: 3,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.98 : 9,444.66 = 2,405.26 : x
  2. Step 2: Convert to fraction form
    6,302.98/9,444.66 = 2,405.26/x
  3. Step 3: Cross multiply
    6,302.98x = 9,444.66 × 2,405.26
  4. Step 4: Simplify right side
    6,302.98x = 22,716,862.91
  5. Step 5: Solve for x
    x = 22,716,862.91/6,302.98
  6. Step 6: Final answer
    x = 3,604.15

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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.