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Finding the Fourth Proportional to 7,081.82, 9,777.05 and 4,903.02

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Solution

The fourth proportional to 7,081.82, 9,777.05 and 4,903.02 is: 6,769.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,081.82 : 9,777.05 = 4,903.02 : x
  2. Step 2: Convert to fraction form
    7,081.82/9,777.05 = 4,903.02/x
  3. Step 3: Cross multiply
    7,081.82x = 9,777.05 × 4,903.02
  4. Step 4: Simplify right side
    7,081.82x = 47,937,047.18
  5. Step 5: Solve for x
    x = 47,937,047.18/7,081.82
  6. Step 6: Final answer
    x = 6,769.03

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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.