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Finding the Fourth Proportional to 9,571.90, 13,206.48 and 6,036.28

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Solution

The fourth proportional to 9,571.90, 13,206.48 and 6,036.28 is: 8,328.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.90 : 13,206.48 = 6,036.28 : x
  2. Step 2: Convert to fraction form
    9,571.90/13,206.48 = 6,036.28/x
  3. Step 3: Cross multiply
    9,571.90x = 13,206.48 × 6,036.28
  4. Step 4: Simplify right side
    9,571.90x = 79,718,011.09
  5. Step 5: Solve for x
    x = 79,718,011.09/9,571.90
  6. Step 6: Final answer
    x = 8,328.34

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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.