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Finding the Fourth Proportional to 8,946.96, 12,346.95 and 4,968.24

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Solution

The fourth proportional to 8,946.96, 12,346.95 and 4,968.24 is: 6,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.96 : 12,346.95 = 4,968.24 : x
  2. Step 2: Convert to fraction form
    8,946.96/12,346.95 = 4,968.24/x
  3. Step 3: Cross multiply
    8,946.96x = 12,346.95 × 4,968.24
  4. Step 4: Simplify right side
    8,946.96x = 61,342,610.87
  5. Step 5: Solve for x
    x = 61,342,610.87/8,946.96
  6. Step 6: Final answer
    x = 6,856.25

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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.