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Finding the Fourth Proportional to 8,928.16, 12,320.16 and 4,949.44

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Solution

The fourth proportional to 8,928.16, 12,320.16 and 4,949.44 is: 6,829.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,928.16 : 12,320.16 = 4,949.44 : x
  2. Step 2: Convert to fraction form
    8,928.16/12,320.16 = 4,949.44/x
  3. Step 3: Cross multiply
    8,928.16x = 12,320.16 × 4,949.44
  4. Step 4: Simplify right side
    8,928.16x = 60,977,892.71
  5. Step 5: Solve for x
    x = 60,977,892.71/8,928.16
  6. Step 6: Final answer
    x = 6,829.84

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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.