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Finding the Fourth Proportional to 9,356.96, 12,906.87 and 6,374.14

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Solution

The fourth proportional to 9,356.96, 12,906.87 and 6,374.14 is: 8,792.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.96 : 12,906.87 = 6,374.14 : x
  2. Step 2: Convert to fraction form
    9,356.96/12,906.87 = 6,374.14/x
  3. Step 3: Cross multiply
    9,356.96x = 12,906.87 × 6,374.14
  4. Step 4: Simplify right side
    9,356.96x = 82,270,196.34
  5. Step 5: Solve for x
    x = 82,270,196.34/9,356.96
  6. Step 6: Final answer
    x = 8,792.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.