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Finding the Fourth Proportional to 35,264.60, 52,896.66 and 8,969

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Solution

The fourth proportional to 35,264.60, 52,896.66 and 8,969 is: 13,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,264.60 : 52,896.66 = 8,969 : x
  2. Step 2: Convert to fraction form
    35,264.60/52,896.66 = 8,969/x
  3. Step 3: Cross multiply
    35,264.60x = 52,896.66 × 8,969
  4. Step 4: Simplify right side
    35,264.60x = 474,430,143.54
  5. Step 5: Solve for x
    x = 474,430,143.54/35,264.60
  6. Step 6: Final answer
    x = 13,453.44

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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.