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Finding the Fourth Proportional to 9,515.72, 13,131.60 and 5,324

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Solution

The fourth proportional to 9,515.72, 13,131.60 and 5,324 is: 7,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.72 : 13,131.60 = 5,324 : x
  2. Step 2: Convert to fraction form
    9,515.72/13,131.60 = 5,324/x
  3. Step 3: Cross multiply
    9,515.72x = 13,131.60 × 5,324
  4. Step 4: Simplify right side
    9,515.72x = 69,912,638.40
  5. Step 5: Solve for x
    x = 69,912,638.40/9,515.72
  6. Step 6: Final answer
    x = 7,347.07

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Why These Related Problems?

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