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Finding the Fourth Proportional to 6,865.97, 9,475.05 and 4,345.45

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Solution

The fourth proportional to 6,865.97, 9,475.05 and 4,345.45 is: 5,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.97 : 9,475.05 = 4,345.45 : x
  2. Step 2: Convert to fraction form
    6,865.97/9,475.05 = 4,345.45/x
  3. Step 3: Cross multiply
    6,865.97x = 9,475.05 × 4,345.45
  4. Step 4: Simplify right side
    6,865.97x = 41,173,348.63
  5. Step 5: Solve for x
    x = 41,173,348.63/6,865.97
  6. Step 6: Final answer
    x = 5,996.73

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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.