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Finding the Fourth Proportional to 9,497.56, 14,247.69 and 2,924.29

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Solution

The fourth proportional to 9,497.56, 14,247.69 and 2,924.29 is: 4,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.56 : 14,247.69 = 2,924.29 : x
  2. Step 2: Convert to fraction form
    9,497.56/14,247.69 = 2,924.29/x
  3. Step 3: Cross multiply
    9,497.56x = 14,247.69 × 2,924.29
  4. Step 4: Simplify right side
    9,497.56x = 41,664,377.39
  5. Step 5: Solve for x
    x = 41,664,377.39/9,497.56
  6. Step 6: Final answer
    x = 4,386.85

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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.