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Finding the Fourth Proportional to 9,153.96, 13,729.50 and 2,580.84

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Solution

The fourth proportional to 9,153.96, 13,729.50 and 2,580.84 is: 3,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.96 : 13,729.50 = 2,580.84 : x
  2. Step 2: Convert to fraction form
    9,153.96/13,729.50 = 2,580.84/x
  3. Step 3: Cross multiply
    9,153.96x = 13,729.50 × 2,580.84
  4. Step 4: Simplify right side
    9,153.96x = 35,433,642.78
  5. Step 5: Solve for x
    x = 35,433,642.78/9,153.96
  6. Step 6: Final answer
    x = 3,870.85

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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.