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Finding the Fourth Proportional to 9,242.59, 12,765.41 and 6,735.91

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Solution

The fourth proportional to 9,242.59, 12,765.41 and 6,735.91 is: 9,303.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.59 : 12,765.41 = 6,735.91 : x
  2. Step 2: Convert to fraction form
    9,242.59/12,765.41 = 6,735.91/x
  3. Step 3: Cross multiply
    9,242.59x = 12,765.41 × 6,735.91
  4. Step 4: Simplify right side
    9,242.59x = 85,986,652.87
  5. Step 5: Solve for x
    x = 85,986,652.87/9,242.59
  6. Step 6: Final answer
    x = 9,303.31

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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.