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Finding the Fourth Proportional to 7,132.66, 9,842.79 and 3,945.75

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Solution

The fourth proportional to 7,132.66, 9,842.79 and 3,945.75 is: 5,444.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.66 : 9,842.79 = 3,945.75 : x
  2. Step 2: Convert to fraction form
    7,132.66/9,842.79 = 3,945.75/x
  3. Step 3: Cross multiply
    7,132.66x = 9,842.79 × 3,945.75
  4. Step 4: Simplify right side
    7,132.66x = 38,837,188.64
  5. Step 5: Solve for x
    x = 38,837,188.64/7,132.66
  6. Step 6: Final answer
    x = 5,444.98

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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.