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Finding the Fourth Proportional to 9,264.69, 12,784.07 and 5,285.56

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Solution

The fourth proportional to 9,264.69, 12,784.07 and 5,285.56 is: 7,293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.69 : 12,784.07 = 5,285.56 : x
  2. Step 2: Convert to fraction form
    9,264.69/12,784.07 = 5,285.56/x
  3. Step 3: Cross multiply
    9,264.69x = 12,784.07 × 5,285.56
  4. Step 4: Simplify right side
    9,264.69x = 67,570,969.03
  5. Step 5: Solve for x
    x = 67,570,969.03/9,264.69
  6. Step 6: Final answer
    x = 7,293.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.