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Finding the Fourth Proportional to 9,523.74, 13,142.58 and 5,274.69

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Solution

The fourth proportional to 9,523.74, 13,142.58 and 5,274.69 is: 7,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.74 : 13,142.58 = 5,274.69 : x
  2. Step 2: Convert to fraction form
    9,523.74/13,142.58 = 5,274.69/x
  3. Step 3: Cross multiply
    9,523.74x = 13,142.58 × 5,274.69
  4. Step 4: Simplify right side
    9,523.74x = 69,323,091.96
  5. Step 5: Solve for x
    x = 69,323,091.96/9,523.74
  6. Step 6: Final answer
    x = 7,278.98

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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.