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Finding the Fourth Proportional to 9,472.40, 14,208.60 and 7,722.80

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Solution

The fourth proportional to 9,472.40, 14,208.60 and 7,722.80 is: 11,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,472.40 : 14,208.60 = 7,722.80 : x
  2. Step 2: Convert to fraction form
    9,472.40/14,208.60 = 7,722.80/x
  3. Step 3: Cross multiply
    9,472.40x = 14,208.60 × 7,722.80
  4. Step 4: Simplify right side
    9,472.40x = 109,730,176.08
  5. Step 5: Solve for x
    x = 109,730,176.08/9,472.40
  6. Step 6: Final answer
    x = 11,584.20

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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.