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Finding the Fourth Proportional to 6,780.33, 9,354 and 4,542.93

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Solution

The fourth proportional to 6,780.33, 9,354 and 4,542.93 is: 6,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.33 : 9,354 = 4,542.93 : x
  2. Step 2: Convert to fraction form
    6,780.33/9,354 = 4,542.93/x
  3. Step 3: Cross multiply
    6,780.33x = 9,354 × 4,542.93
  4. Step 4: Simplify right side
    6,780.33x = 42,494,567.22
  5. Step 5: Solve for x
    x = 42,494,567.22/6,780.33
  6. Step 6: Final answer
    x = 6,267.33

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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.