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Finding the Fourth Proportional to 9,671.80, 14,502.30 and 4,471.24

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Solution

The fourth proportional to 9,671.80, 14,502.30 and 4,471.24 is: 6,704.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.80 : 14,502.30 = 4,471.24 : x
  2. Step 2: Convert to fraction form
    9,671.80/14,502.30 = 4,471.24/x
  3. Step 3: Cross multiply
    9,671.80x = 14,502.30 × 4,471.24
  4. Step 4: Simplify right side
    9,671.80x = 64,843,263.85
  5. Step 5: Solve for x
    x = 64,843,263.85/9,671.80
  6. Step 6: Final answer
    x = 6,704.36

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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.