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Finding the Fourth Proportional to 9,752.64, 14,628.96 and 5,367.84

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Solution

The fourth proportional to 9,752.64, 14,628.96 and 5,367.84 is: 8,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.64 : 14,628.96 = 5,367.84 : x
  2. Step 2: Convert to fraction form
    9,752.64/14,628.96 = 5,367.84/x
  3. Step 3: Cross multiply
    9,752.64x = 14,628.96 × 5,367.84
  4. Step 4: Simplify right side
    9,752.64x = 78,525,916.65
  5. Step 5: Solve for x
    x = 78,525,916.65/9,752.64
  6. Step 6: Final answer
    x = 8,051.76

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Similar ratio
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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.