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Finding the Fourth Proportional to 9,502.24, 14,254.12 and 3,259.74

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Solution

The fourth proportional to 9,502.24, 14,254.12 and 3,259.74 is: 4,889.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.24 : 14,254.12 = 3,259.74 : x
  2. Step 2: Convert to fraction form
    9,502.24/14,254.12 = 3,259.74/x
  3. Step 3: Cross multiply
    9,502.24x = 14,254.12 × 3,259.74
  4. Step 4: Simplify right side
    9,502.24x = 46,464,725.13
  5. Step 5: Solve for x
    x = 46,464,725.13/9,502.24
  6. Step 6: Final answer
    x = 4,889.87

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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.