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Finding the Fourth Proportional to 6,931.37, 9,564.41 and 3,946.79

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Solution

The fourth proportional to 6,931.37, 9,564.41 and 3,946.79 is: 5,446.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.37 : 9,564.41 = 3,946.79 : x
  2. Step 2: Convert to fraction form
    6,931.37/9,564.41 = 3,946.79/x
  3. Step 3: Cross multiply
    6,931.37x = 9,564.41 × 3,946.79
  4. Step 4: Simplify right side
    6,931.37x = 37,748,698.01
  5. Step 5: Solve for x
    x = 37,748,698.01/6,931.37
  6. Step 6: Final answer
    x = 5,446.07

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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.