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Finding the Fourth Proportional to 8,646.30, 12,969.14 and 2,802.75

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Solution

The fourth proportional to 8,646.30, 12,969.14 and 2,802.75 is: 4,204.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.30 : 12,969.14 = 2,802.75 : x
  2. Step 2: Convert to fraction form
    8,646.30/12,969.14 = 2,802.75/x
  3. Step 3: Cross multiply
    8,646.30x = 12,969.14 × 2,802.75
  4. Step 4: Simplify right side
    8,646.30x = 36,349,243.12
  5. Step 5: Solve for x
    x = 36,349,243.12/8,646.30
  6. Step 6: Final answer
    x = 4,204.02

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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.