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Finding the Fourth Proportional to 9,502.59, 14,254.47 and 3,659.22

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Solution

The fourth proportional to 9,502.59, 14,254.47 and 3,659.22 is: 5,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.59 : 14,254.47 = 3,659.22 : x
  2. Step 2: Convert to fraction form
    9,502.59/14,254.47 = 3,659.22/x
  3. Step 3: Cross multiply
    9,502.59x = 14,254.47 × 3,659.22
  4. Step 4: Simplify right side
    9,502.59x = 52,160,241.71
  5. Step 5: Solve for x
    x = 52,160,241.71/9,502.59
  6. Step 6: Final answer
    x = 5,489.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.