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Finding the Fourth Proportional to 9,497.85, 14,246.25 and 2,923.19

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Solution

The fourth proportional to 9,497.85, 14,246.25 and 2,923.19 is: 4,384.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.85 : 14,246.25 = 2,923.19 : x
  2. Step 2: Convert to fraction form
    9,497.85/14,246.25 = 2,923.19/x
  3. Step 3: Cross multiply
    9,497.85x = 14,246.25 × 2,923.19
  4. Step 4: Simplify right side
    9,497.85x = 41,644,424.31
  5. Step 5: Solve for x
    x = 41,644,424.31/9,497.85
  6. Step 6: Final answer
    x = 4,384.62

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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.