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Finding the Fourth Proportional to 9,313.74, 12,852.38 and 5,333.94

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Solution

The fourth proportional to 9,313.74, 12,852.38 and 5,333.94 is: 7,360.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.74 : 12,852.38 = 5,333.94 : x
  2. Step 2: Convert to fraction form
    9,313.74/12,852.38 = 5,333.94/x
  3. Step 3: Cross multiply
    9,313.74x = 12,852.38 × 5,333.94
  4. Step 4: Simplify right side
    9,313.74x = 68,553,823.78
  5. Step 5: Solve for x
    x = 68,553,823.78/9,313.74
  6. Step 6: Final answer
    x = 7,360.50

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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.