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Finding the Fourth Proportional to 9,081.34, 13,604 and 6,994.12

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Solution

The fourth proportional to 9,081.34, 13,604 and 6,994.12 is: 10,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.34 : 13,604 = 6,994.12 : x
  2. Step 2: Convert to fraction form
    9,081.34/13,604 = 6,994.12/x
  3. Step 3: Cross multiply
    9,081.34x = 13,604 × 6,994.12
  4. Step 4: Simplify right side
    9,081.34x = 95,148,008.48
  5. Step 5: Solve for x
    x = 95,148,008.48/9,081.34
  6. Step 6: Final answer
    x = 10,477.31

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Why These Related Problems?

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