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Finding the Fourth Proportional to 9,653.20, 14,458.20 and 7,454.80

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Solution

The fourth proportional to 9,653.20, 14,458.20 and 7,454.80 is: 11,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,653.20 : 14,458.20 = 7,454.80 : x
  2. Step 2: Convert to fraction form
    9,653.20/14,458.20 = 7,454.80/x
  3. Step 3: Cross multiply
    9,653.20x = 14,458.20 × 7,454.80
  4. Step 4: Simplify right side
    9,653.20x = 107,782,989.36
  5. Step 5: Solve for x
    x = 107,782,989.36/9,653.20
  6. Step 6: Final answer
    x = 11,165.52

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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.