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Finding the Fourth Proportional to 6,946.72, 9,588.18 and 5,825.92

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Solution

The fourth proportional to 6,946.72, 9,588.18 and 5,825.92 is: 8,041.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,946.72 : 9,588.18 = 5,825.92 : x
  2. Step 2: Convert to fraction form
    6,946.72/9,588.18 = 5,825.92/x
  3. Step 3: Cross multiply
    6,946.72x = 9,588.18 × 5,825.92
  4. Step 4: Simplify right side
    6,946.72x = 55,859,969.63
  5. Step 5: Solve for x
    x = 55,859,969.63/6,946.72
  6. Step 6: Final answer
    x = 8,041.20

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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.