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Finding the Fourth Proportional to 9,513.62, 13,141.34 and 7,302.81

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Solution

The fourth proportional to 9,513.62, 13,141.34 and 7,302.81 is: 10,087.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.62 : 13,141.34 = 7,302.81 : x
  2. Step 2: Convert to fraction form
    9,513.62/13,141.34 = 7,302.81/x
  3. Step 3: Cross multiply
    9,513.62x = 13,141.34 × 7,302.81
  4. Step 4: Simplify right side
    9,513.62x = 95,968,700.04
  5. Step 5: Solve for x
    x = 95,968,700.04/9,513.62
  6. Step 6: Final answer
    x = 10,087.51

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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.