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Finding the Fourth Proportional to 9,694.59, 14,534.82 and 4,426.76

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Solution

The fourth proportional to 9,694.59, 14,534.82 and 4,426.76 is: 6,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.59 : 14,534.82 = 4,426.76 : x
  2. Step 2: Convert to fraction form
    9,694.59/14,534.82 = 4,426.76/x
  3. Step 3: Cross multiply
    9,694.59x = 14,534.82 × 4,426.76
  4. Step 4: Simplify right side
    9,694.59x = 64,342,087.11
  5. Step 5: Solve for x
    x = 64,342,087.11/9,694.59
  6. Step 6: Final answer
    x = 6,636.91

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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.