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Finding the Fourth Proportional to 9,167.63, 12,651.19 and 4,975.88

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Solution

The fourth proportional to 9,167.63, 12,651.19 and 4,975.88 is: 6,866.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.63 : 12,651.19 = 4,975.88 : x
  2. Step 2: Convert to fraction form
    9,167.63/12,651.19 = 4,975.88/x
  3. Step 3: Cross multiply
    9,167.63x = 12,651.19 × 4,975.88
  4. Step 4: Simplify right side
    9,167.63x = 62,950,798.76
  5. Step 5: Solve for x
    x = 62,950,798.76/9,167.63
  6. Step 6: Final answer
    x = 6,866.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.