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Finding the Fourth Proportional to 9,752.14, 14,629.63 and 3,176.69

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Solution

The fourth proportional to 9,752.14, 14,629.63 and 3,176.69 is: 4,765.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.14 : 14,629.63 = 3,176.69 : x
  2. Step 2: Convert to fraction form
    9,752.14/14,629.63 = 3,176.69/x
  3. Step 3: Cross multiply
    9,752.14x = 14,629.63 × 3,176.69
  4. Step 4: Simplify right side
    9,752.14x = 46,473,827.96
  5. Step 5: Solve for x
    x = 46,473,827.96/9,752.14
  6. Step 6: Final answer
    x = 4,765.50

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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.