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Finding the Fourth Proportional to 9,356.32, 12,906.12 and 6,835.35

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Solution

The fourth proportional to 9,356.32, 12,906.12 and 6,835.35 is: 9,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.32 : 12,906.12 = 6,835.35 : x
  2. Step 2: Convert to fraction form
    9,356.32/12,906.12 = 6,835.35/x
  3. Step 3: Cross multiply
    9,356.32x = 12,906.12 × 6,835.35
  4. Step 4: Simplify right side
    9,356.32x = 88,217,847.34
  5. Step 5: Solve for x
    x = 88,217,847.34/9,356.32
  6. Step 6: Final answer
    x = 9,428.69

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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.