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Finding the Fourth Proportional to 6,538.59, 9,804.78 and 2,375.66

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Solution

The fourth proportional to 6,538.59, 9,804.78 and 2,375.66 is: 3,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.59 : 9,804.78 = 2,375.66 : x
  2. Step 2: Convert to fraction form
    6,538.59/9,804.78 = 2,375.66/x
  3. Step 3: Cross multiply
    6,538.59x = 9,804.78 × 2,375.66
  4. Step 4: Simplify right side
    6,538.59x = 23,292,774.63
  5. Step 5: Solve for x
    x = 23,292,774.63/6,538.59
  6. Step 6: Final answer
    x = 3,562.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.