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Finding the Fourth Proportional to 8,986.34, 13,463.07 and 6,515.03

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Solution

The fourth proportional to 8,986.34, 13,463.07 and 6,515.03 is: 9,760.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,986.34 : 13,463.07 = 6,515.03 : x
  2. Step 2: Convert to fraction form
    8,986.34/13,463.07 = 6,515.03/x
  3. Step 3: Cross multiply
    8,986.34x = 13,463.07 × 6,515.03
  4. Step 4: Simplify right side
    8,986.34x = 87,712,237.63
  5. Step 5: Solve for x
    x = 87,712,237.63/8,986.34
  6. Step 6: Final answer
    x = 9,760.62

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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.