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Finding the Fourth Proportional to 8,946.94, 12,346.37 and 4,968.30

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Solution

The fourth proportional to 8,946.94, 12,346.37 and 4,968.30 is: 6,856.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.94 : 12,346.37 = 4,968.30 : x
  2. Step 2: Convert to fraction form
    8,946.94/12,346.37 = 4,968.30/x
  3. Step 3: Cross multiply
    8,946.94x = 12,346.37 × 4,968.30
  4. Step 4: Simplify right side
    8,946.94x = 61,340,445.23
  5. Step 5: Solve for x
    x = 61,340,445.23/8,946.94
  6. Step 6: Final answer
    x = 6,856.03

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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.