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Finding the Fourth Proportional to 8,646.28, 12,969.72 and 2,802.94

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Solution

The fourth proportional to 8,646.28, 12,969.72 and 2,802.94 is: 4,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.28 : 12,969.72 = 2,802.94 : x
  2. Step 2: Convert to fraction form
    8,646.28/12,969.72 = 2,802.94/x
  3. Step 3: Cross multiply
    8,646.28x = 12,969.72 × 2,802.94
  4. Step 4: Simplify right side
    8,646.28x = 36,353,314.55
  5. Step 5: Solve for x
    x = 36,353,314.55/8,646.28
  6. Step 6: Final answer
    x = 4,204.50

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Why These Related Problems?

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