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Finding the Fourth Proportional to 6,476.34, 8,934.90 and 4,488.54

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Solution

The fourth proportional to 6,476.34, 8,934.90 and 4,488.54 is: 6,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.34 : 8,934.90 = 4,488.54 : x
  2. Step 2: Convert to fraction form
    6,476.34/8,934.90 = 4,488.54/x
  3. Step 3: Cross multiply
    6,476.34x = 8,934.90 × 4,488.54
  4. Step 4: Simplify right side
    6,476.34x = 40,104,656.05
  5. Step 5: Solve for x
    x = 40,104,656.05/6,476.34
  6. Step 6: Final answer
    x = 6,192.49

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