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Finding the Fourth Proportional to 9,672.04, 14,502.06 and 4,471.24

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Solution

The fourth proportional to 9,672.04, 14,502.06 and 4,471.24 is: 6,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.04 : 14,502.06 = 4,471.24 : x
  2. Step 2: Convert to fraction form
    9,672.04/14,502.06 = 4,471.24/x
  3. Step 3: Cross multiply
    9,672.04x = 14,502.06 × 4,471.24
  4. Step 4: Simplify right side
    9,672.04x = 64,842,190.75
  5. Step 5: Solve for x
    x = 64,842,190.75/9,672.04
  6. Step 6: Final answer
    x = 6,704.09

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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.