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Finding the Fourth Proportional to 9,507.54, 13,120.43 and 5,315.79

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Solution

The fourth proportional to 9,507.54, 13,120.43 and 5,315.79 is: 7,335.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.54 : 13,120.43 = 5,315.79 : x
  2. Step 2: Convert to fraction form
    9,507.54/13,120.43 = 5,315.79/x
  3. Step 3: Cross multiply
    9,507.54x = 13,120.43 × 5,315.79
  4. Step 4: Simplify right side
    9,507.54x = 69,745,450.59
  5. Step 5: Solve for x
    x = 69,745,450.59/9,507.54
  6. Step 6: Final answer
    x = 7,335.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.