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Finding the Fourth Proportional to 9,502.93, 14,250.29 and 3,655.45

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Solution

The fourth proportional to 9,502.93, 14,250.29 and 3,655.45 is: 5,481.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.93 : 14,250.29 = 3,655.45 : x
  2. Step 2: Convert to fraction form
    9,502.93/14,250.29 = 3,655.45/x
  3. Step 3: Cross multiply
    9,502.93x = 14,250.29 × 3,655.45
  4. Step 4: Simplify right side
    9,502.93x = 52,091,133.05
  5. Step 5: Solve for x
    x = 52,091,133.05/9,502.93
  6. Step 6: Final answer
    x = 5,481.59

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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.