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Finding the Fourth Proportional to 9,507.12, 14,262.88 and 2,933.12

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Solution

The fourth proportional to 9,507.12, 14,262.88 and 2,933.12 is: 4,400.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.12 : 14,262.88 = 2,933.12 : x
  2. Step 2: Convert to fraction form
    9,507.12/14,262.88 = 2,933.12/x
  3. Step 3: Cross multiply
    9,507.12x = 14,262.88 × 2,933.12
  4. Step 4: Simplify right side
    9,507.12x = 41,834,738.59
  5. Step 5: Solve for x
    x = 41,834,738.59/9,507.12
  6. Step 6: Final answer
    x = 4,400.36

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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.