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Finding the Fourth Proportional to 9,274.20, 13,894.86 and 7,705.02

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Solution

The fourth proportional to 9,274.20, 13,894.86 and 7,705.02 is: 11,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.20 : 13,894.86 = 7,705.02 : x
  2. Step 2: Convert to fraction form
    9,274.20/13,894.86 = 7,705.02/x
  3. Step 3: Cross multiply
    9,274.20x = 13,894.86 × 7,705.02
  4. Step 4: Simplify right side
    9,274.20x = 107,060,174.20
  5. Step 5: Solve for x
    x = 107,060,174.20/9,274.20
  6. Step 6: Final answer
    x = 11,543.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.