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Finding the Fourth Proportional to 9,497.68, 14,247.87 and 2,924.41

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Solution

The fourth proportional to 9,497.68, 14,247.87 and 2,924.41 is: 4,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,497.68 : 14,247.87 = 2,924.41 : x
  2. Step 2: Convert to fraction form
    9,497.68/14,247.87 = 2,924.41/x
  3. Step 3: Cross multiply
    9,497.68x = 14,247.87 × 2,924.41
  4. Step 4: Simplify right side
    9,497.68x = 41,666,613.51
  5. Step 5: Solve for x
    x = 41,666,613.51/9,497.68
  6. Step 6: Final answer
    x = 4,387.03

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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.