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Finding the Fourth Proportional to 9,133.25, 13,700.10 and 2,559.95

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Solution

The fourth proportional to 9,133.25, 13,700.10 and 2,559.95 is: 3,839.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.25 : 13,700.10 = 2,559.95 : x
  2. Step 2: Convert to fraction form
    9,133.25/13,700.10 = 2,559.95/x
  3. Step 3: Cross multiply
    9,133.25x = 13,700.10 × 2,559.95
  4. Step 4: Simplify right side
    9,133.25x = 35,071,571.00
  5. Step 5: Solve for x
    x = 35,071,571.00/9,133.25
  6. Step 6: Final answer
    x = 3,839.99

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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.