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Finding the Fourth Proportional to 9,827.28, 14,751.18 and 8,664.84

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Solution

The fourth proportional to 9,827.28, 14,751.18 and 8,664.84 is: 13,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.28 : 14,751.18 = 8,664.84 : x
  2. Step 2: Convert to fraction form
    9,827.28/14,751.18 = 8,664.84/x
  3. Step 3: Cross multiply
    9,827.28x = 14,751.18 × 8,664.84
  4. Step 4: Simplify right side
    9,827.28x = 127,816,614.51
  5. Step 5: Solve for x
    x = 127,816,614.51/9,827.28
  6. Step 6: Final answer
    x = 13,006.31

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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.