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Finding the Fourth Proportional to 9,561.59, 14,351.50 and 5,871.03

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Solution

The fourth proportional to 9,561.59, 14,351.50 and 5,871.03 is: 8,812.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.59 : 14,351.50 = 5,871.03 : x
  2. Step 2: Convert to fraction form
    9,561.59/14,351.50 = 5,871.03/x
  3. Step 3: Cross multiply
    9,561.59x = 14,351.50 × 5,871.03
  4. Step 4: Simplify right side
    9,561.59x = 84,258,137.81
  5. Step 5: Solve for x
    x = 84,258,137.81/9,561.59
  6. Step 6: Final answer
    x = 8,812.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.