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Finding the Fourth Proportional to 9,167.76, 12,651.43 and 4,976.01

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Solution

The fourth proportional to 9,167.76, 12,651.43 and 4,976.01 is: 6,866.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.76 : 12,651.43 = 4,976.01 : x
  2. Step 2: Convert to fraction form
    9,167.76/12,651.43 = 4,976.01/x
  3. Step 3: Cross multiply
    9,167.76x = 12,651.43 × 4,976.01
  4. Step 4: Simplify right side
    9,167.76x = 62,953,642.19
  5. Step 5: Solve for x
    x = 62,953,642.19/9,167.76
  6. Step 6: Final answer
    x = 6,866.85

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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.