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Finding the Fourth Proportional to 6,776.90, 9,347.10 and 4,785.38

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Solution

The fourth proportional to 6,776.90, 9,347.10 and 4,785.38 is: 6,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.90 : 9,347.10 = 4,785.38 : x
  2. Step 2: Convert to fraction form
    6,776.90/9,347.10 = 4,785.38/x
  3. Step 3: Cross multiply
    6,776.90x = 9,347.10 × 4,785.38
  4. Step 4: Simplify right side
    6,776.90x = 44,729,425.40
  5. Step 5: Solve for x
    x = 44,729,425.40/6,776.90
  6. Step 6: Final answer
    x = 6,600.28

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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.