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Finding the Fourth Proportional to 9,446.98, 13,029.51 and 6,090.34

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Solution

The fourth proportional to 9,446.98, 13,029.51 and 6,090.34 is: 8,399.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.98 : 13,029.51 = 6,090.34 : x
  2. Step 2: Convert to fraction form
    9,446.98/13,029.51 = 6,090.34/x
  3. Step 3: Cross multiply
    9,446.98x = 13,029.51 × 6,090.34
  4. Step 4: Simplify right side
    9,446.98x = 79,354,145.93
  5. Step 5: Solve for x
    x = 79,354,145.93/9,446.98
  6. Step 6: Final answer
    x = 8,399.95

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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.