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Finding the Fourth Proportional to 6,389.46, 9,582.06 and 2,691

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Solution

The fourth proportional to 6,389.46, 9,582.06 and 2,691 is: 4,035.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.46 : 9,582.06 = 2,691 : x
  2. Step 2: Convert to fraction form
    6,389.46/9,582.06 = 2,691/x
  3. Step 3: Cross multiply
    6,389.46x = 9,582.06 × 2,691
  4. Step 4: Simplify right side
    6,389.46x = 25,785,323.46
  5. Step 5: Solve for x
    x = 25,785,323.46/6,389.46
  6. Step 6: Final answer
    x = 4,035.60

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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.