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Finding the Fourth Proportional to 6,977.86, 9,628.09 and 4,458.04

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Solution

The fourth proportional to 6,977.86, 9,628.09 and 4,458.04 is: 6,151.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,977.86 : 9,628.09 = 4,458.04 : x
  2. Step 2: Convert to fraction form
    6,977.86/9,628.09 = 4,458.04/x
  3. Step 3: Cross multiply
    6,977.86x = 9,628.09 × 4,458.04
  4. Step 4: Simplify right side
    6,977.86x = 42,922,362.20
  5. Step 5: Solve for x
    x = 42,922,362.20/6,977.86
  6. Step 6: Final answer
    x = 6,151.22

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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.