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Finding the Fourth Proportional to 9,634.40, 14,451.60 and 9,051.20

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Solution

The fourth proportional to 9,634.40, 14,451.60 and 9,051.20 is: 13,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.40 : 14,451.60 = 9,051.20 : x
  2. Step 2: Convert to fraction form
    9,634.40/14,451.60 = 9,051.20/x
  3. Step 3: Cross multiply
    9,634.40x = 14,451.60 × 9,051.20
  4. Step 4: Simplify right side
    9,634.40x = 130,804,321.92
  5. Step 5: Solve for x
    x = 130,804,321.92/9,634.40
  6. Step 6: Final answer
    x = 13,576.80

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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.