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Finding the Fourth Proportional to 9,502.74, 14,260.24 and 5,123.24

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Solution

The fourth proportional to 9,502.74, 14,260.24 and 5,123.24 is: 7,688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.74 : 14,260.24 = 5,123.24 : x
  2. Step 2: Convert to fraction form
    9,502.74/14,260.24 = 5,123.24/x
  3. Step 3: Cross multiply
    9,502.74x = 14,260.24 × 5,123.24
  4. Step 4: Simplify right side
    9,502.74x = 73,058,631.98
  5. Step 5: Solve for x
    x = 73,058,631.98/9,502.74
  6. Step 6: Final answer
    x = 7,688.16

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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.