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Finding the Fourth Proportional to 8,946.68, 12,346.58 and 4,913.48

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Solution

The fourth proportional to 8,946.68, 12,346.58 and 4,913.48 is: 6,780.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.68 : 12,346.58 = 4,913.48 : x
  2. Step 2: Convert to fraction form
    8,946.68/12,346.58 = 4,913.48/x
  3. Step 3: Cross multiply
    8,946.68x = 12,346.58 × 4,913.48
  4. Step 4: Simplify right side
    8,946.68x = 60,664,587.60
  5. Step 5: Solve for x
    x = 60,664,587.60/8,946.68
  6. Step 6: Final answer
    x = 6,780.69

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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.