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Finding the Fourth Proportional to 9,507.12, 14,260.74 and 2,933.16

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Solution

The fourth proportional to 9,507.12, 14,260.74 and 2,933.16 is: 4,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.12 : 14,260.74 = 2,933.16 : x
  2. Step 2: Convert to fraction form
    9,507.12/14,260.74 = 2,933.16/x
  3. Step 3: Cross multiply
    9,507.12x = 14,260.74 × 2,933.16
  4. Step 4: Simplify right side
    9,507.12x = 41,829,032.14
  5. Step 5: Solve for x
    x = 41,829,032.14/9,507.12
  6. Step 6: Final answer
    x = 4,399.76

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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.