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Finding the Fourth Proportional to 9,528.76, 14,295.84 and 5,149.36

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Solution

The fourth proportional to 9,528.76, 14,295.84 and 5,149.36 is: 7,725.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,528.76 : 14,295.84 = 5,149.36 : x
  2. Step 2: Convert to fraction form
    9,528.76/14,295.84 = 5,149.36/x
  3. Step 3: Cross multiply
    9,528.76x = 14,295.84 × 5,149.36
  4. Step 4: Simplify right side
    9,528.76x = 73,614,426.66
  5. Step 5: Solve for x
    x = 73,614,426.66/9,528.76
  6. Step 6: Final answer
    x = 7,725.50

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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.