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Finding the Fourth Proportional to 9,651.56, 14,472.48 and 4,713.80

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Solution

The fourth proportional to 9,651.56, 14,472.48 and 4,713.80 is: 7,068.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,651.56 : 14,472.48 = 4,713.80 : x
  2. Step 2: Convert to fraction form
    9,651.56/14,472.48 = 4,713.80/x
  3. Step 3: Cross multiply
    9,651.56x = 14,472.48 × 4,713.80
  4. Step 4: Simplify right side
    9,651.56x = 68,220,376.22
  5. Step 5: Solve for x
    x = 68,220,376.22/9,651.56
  6. Step 6: Final answer
    x = 7,068.33

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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.