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Finding the Fourth Proportional to 9,497.49, 14,245.83 and 2,923.40

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Solution

The fourth proportional to 9,497.49, 14,245.83 and 2,923.40 is: 4,384.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.49 : 14,245.83 = 2,923.40 : x
  2. Step 2: Convert to fraction form
    9,497.49/14,245.83 = 2,923.40/x
  3. Step 3: Cross multiply
    9,497.49x = 14,245.83 × 2,923.40
  4. Step 4: Simplify right side
    9,497.49x = 41,646,188.19
  5. Step 5: Solve for x
    x = 41,646,188.19/9,497.49
  6. Step 6: Final answer
    x = 4,384.97

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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.