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Finding the Fourth Proportional to 7,125.33, 9,835.70 and 6,377.97

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Solution

The fourth proportional to 7,125.33, 9,835.70 and 6,377.97 is: 8,804.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.33 : 9,835.70 = 6,377.97 : x
  2. Step 2: Convert to fraction form
    7,125.33/9,835.70 = 6,377.97/x
  3. Step 3: Cross multiply
    7,125.33x = 9,835.70 × 6,377.97
  4. Step 4: Simplify right side
    7,125.33x = 62,731,799.53
  5. Step 5: Solve for x
    x = 62,731,799.53/7,125.33
  6. Step 6: Final answer
    x = 8,804.06

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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.