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Finding the Fourth Proportional to 9,809.17, 14,694.03 and 4,536.78

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Solution

The fourth proportional to 9,809.17, 14,694.03 and 4,536.78 is: 6,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809.17 : 14,694.03 = 4,536.78 : x
  2. Step 2: Convert to fraction form
    9,809.17/14,694.03 = 4,536.78/x
  3. Step 3: Cross multiply
    9,809.17x = 14,694.03 × 4,536.78
  4. Step 4: Simplify right side
    9,809.17x = 66,663,581.42
  5. Step 5: Solve for x
    x = 66,663,581.42/9,809.17
  6. Step 6: Final answer
    x = 6,796.05

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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.