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Finding the Fourth Proportional to 9,242.70, 12,741.75 and 5,703.54

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Solution

The fourth proportional to 9,242.70, 12,741.75 and 5,703.54 is: 7,862.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.70 : 12,741.75 = 5,703.54 : x
  2. Step 2: Convert to fraction form
    9,242.70/12,741.75 = 5,703.54/x
  3. Step 3: Cross multiply
    9,242.70x = 12,741.75 × 5,703.54
  4. Step 4: Simplify right side
    9,242.70x = 72,673,080.80
  5. Step 5: Solve for x
    x = 72,673,080.80/9,242.70
  6. Step 6: Final answer
    x = 7,862.75

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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.