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Finding the Fourth Proportional to 9,502.80, 14,250.10 and 3,655.32

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Solution

The fourth proportional to 9,502.80, 14,250.10 and 3,655.32 is: 5,481.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,250.10 = 3,655.32 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,250.10 = 3,655.32/x
  3. Step 3: Cross multiply
    9,502.80x = 14,250.10 × 3,655.32
  4. Step 4: Simplify right side
    9,502.80x = 52,088,666.39
  5. Step 5: Solve for x
    x = 52,088,666.39/9,502.80
  6. Step 6: Final answer
    x = 5,481.40

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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.