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Finding the Fourth Proportional to 9,309.94, 13,964.94 and 8,842.77

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Solution

The fourth proportional to 9,309.94, 13,964.94 and 8,842.77 is: 13,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.94 : 13,964.94 = 8,842.77 : x
  2. Step 2: Convert to fraction form
    9,309.94/13,964.94 = 8,842.77/x
  3. Step 3: Cross multiply
    9,309.94x = 13,964.94 × 8,842.77
  4. Step 4: Simplify right side
    9,309.94x = 123,488,752.48
  5. Step 5: Solve for x
    x = 123,488,752.48/9,309.94
  6. Step 6: Final answer
    x = 13,264.19

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1.5x scale

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.