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Finding the Fourth Proportional to 8,972.68, 13,460.14 and 2,969

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Solution

The fourth proportional to 8,972.68, 13,460.14 and 2,969 is: 4,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.68 : 13,460.14 = 2,969 : x
  2. Step 2: Convert to fraction form
    8,972.68/13,460.14 = 2,969/x
  3. Step 3: Cross multiply
    8,972.68x = 13,460.14 × 2,969
  4. Step 4: Simplify right side
    8,972.68x = 39,963,155.66
  5. Step 5: Solve for x
    x = 39,963,155.66/8,972.68
  6. Step 6: Final answer
    x = 4,453.87

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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.