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Finding the Fourth Proportional to 9,167.68, 12,651.42 and 4,975.93

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Solution

The fourth proportional to 9,167.68, 12,651.42 and 4,975.93 is: 6,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.68 : 12,651.42 = 4,975.93 : x
  2. Step 2: Convert to fraction form
    9,167.68/12,651.42 = 4,975.93/x
  3. Step 3: Cross multiply
    9,167.68x = 12,651.42 × 4,975.93
  4. Step 4: Simplify right side
    9,167.68x = 62,952,580.32
  5. Step 5: Solve for x
    x = 62,952,580.32/9,167.68
  6. Step 6: Final answer
    x = 6,866.80

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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.