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Finding the Fourth Proportional to 9,292.59, 12,822.50 and 5,313.97

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Solution

The fourth proportional to 9,292.59, 12,822.50 and 5,313.97 is: 7,332.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.59 : 12,822.50 = 5,313.97 : x
  2. Step 2: Convert to fraction form
    9,292.59/12,822.50 = 5,313.97/x
  3. Step 3: Cross multiply
    9,292.59x = 12,822.50 × 5,313.97
  4. Step 4: Simplify right side
    9,292.59x = 68,138,409.64
  5. Step 5: Solve for x
    x = 68,138,409.64/9,292.59
  6. Step 6: Final answer
    x = 7,332.55

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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.