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Finding the Fourth Proportional to 9,293.05, 12,825.29 and 5,313.39

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Solution

The fourth proportional to 9,293.05, 12,825.29 and 5,313.39 is: 7,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.05 : 12,825.29 = 5,313.39 : x
  2. Step 2: Convert to fraction form
    9,293.05/12,825.29 = 5,313.39/x
  3. Step 3: Cross multiply
    9,293.05x = 12,825.29 × 5,313.39
  4. Step 4: Simplify right side
    9,293.05x = 68,145,767.63
  5. Step 5: Solve for x
    x = 68,145,767.63/9,293.05
  6. Step 6: Final answer
    x = 7,332.98

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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.