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Finding the Fourth Proportional to 9,041.34, 13,616.27 and 7,957.56

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Solution

The fourth proportional to 9,041.34, 13,616.27 and 7,957.56 is: 11,984.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.34 : 13,616.27 = 7,957.56 : x
  2. Step 2: Convert to fraction form
    9,041.34/13,616.27 = 7,957.56/x
  3. Step 3: Cross multiply
    9,041.34x = 13,616.27 × 7,957.56
  4. Step 4: Simplify right side
    9,041.34x = 108,352,245.71
  5. Step 5: Solve for x
    x = 108,352,245.71/9,041.34
  6. Step 6: Final answer
    x = 11,984.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.