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Finding the Fourth Proportional to 9,657.20, 14,496.60 and 7,475.60

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Solution

The fourth proportional to 9,657.20, 14,496.60 and 7,475.60 is: 11,221.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.20 : 14,496.60 = 7,475.60 : x
  2. Step 2: Convert to fraction form
    9,657.20/14,496.60 = 7,475.60/x
  3. Step 3: Cross multiply
    9,657.20x = 14,496.60 × 7,475.60
  4. Step 4: Simplify right side
    9,657.20x = 108,370,782.96
  5. Step 5: Solve for x
    x = 108,370,782.96/9,657.20
  6. Step 6: Final answer
    x = 11,221.76

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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.