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Finding the Fourth Proportional to 8,646.94, 12,970.87 and 2,803.09

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Solution

The fourth proportional to 8,646.94, 12,970.87 and 2,803.09 is: 4,204.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.94 : 12,970.87 = 2,803.09 : x
  2. Step 2: Convert to fraction form
    8,646.94/12,970.87 = 2,803.09/x
  3. Step 3: Cross multiply
    8,646.94x = 12,970.87 × 2,803.09
  4. Step 4: Simplify right side
    8,646.94x = 36,358,515.99
  5. Step 5: Solve for x
    x = 36,358,515.99/8,646.94
  6. Step 6: Final answer
    x = 4,204.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.