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Finding the Fourth Proportional to 9,769.96, 14,635.35 and 4,497.62

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Solution

The fourth proportional to 9,769.96, 14,635.35 and 4,497.62 is: 6,737.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.96 : 14,635.35 = 4,497.62 : x
  2. Step 2: Convert to fraction form
    9,769.96/14,635.35 = 4,497.62/x
  3. Step 3: Cross multiply
    9,769.96x = 14,635.35 × 4,497.62
  4. Step 4: Simplify right side
    9,769.96x = 65,824,242.87
  5. Step 5: Solve for x
    x = 65,824,242.87/9,769.96
  6. Step 6: Final answer
    x = 6,737.41

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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.