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Finding the Fourth Proportional to 9,502.80, 14,255.40 and 3,663.48

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Solution

The fourth proportional to 9,502.80, 14,255.40 and 3,663.48 is: 5,495.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.80 : 14,255.40 = 3,663.48 : x
  2. Step 2: Convert to fraction form
    9,502.80/14,255.40 = 3,663.48/x
  3. Step 3: Cross multiply
    9,502.80x = 14,255.40 × 3,663.48
  4. Step 4: Simplify right side
    9,502.80x = 52,224,372.79
  5. Step 5: Solve for x
    x = 52,224,372.79/9,502.80
  6. Step 6: Final answer
    x = 5,495.68

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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.