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Finding the Fourth Proportional to 9,502.80, 14,256.23 and 4,823.43

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Solution

The fourth proportional to 9,502.80, 14,256.23 and 4,823.43 is: 7,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,256.23 = 4,823.43 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,256.23 = 4,823.43/x
  3. Step 3: Cross multiply
    9,502.80x = 14,256.23 × 4,823.43
  4. Step 4: Simplify right side
    9,502.80x = 68,763,903.35
  5. Step 5: Solve for x
    x = 68,763,903.35/9,502.80
  6. Step 6: Final answer
    x = 7,236.17

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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.