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Finding the Fourth Proportional to 6,937.69, 9,575.80 and 4,283.58

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Solution

The fourth proportional to 6,937.69, 9,575.80 and 4,283.58 is: 5,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.69 : 9,575.80 = 4,283.58 : x
  2. Step 2: Convert to fraction form
    6,937.69/9,575.80 = 4,283.58/x
  3. Step 3: Cross multiply
    6,937.69x = 9,575.80 × 4,283.58
  4. Step 4: Simplify right side
    6,937.69x = 41,018,705.36
  5. Step 5: Solve for x
    x = 41,018,705.36/6,937.69
  6. Step 6: Final answer
    x = 5,912.44

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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.