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Finding the Fourth Proportional to 9,313.48, 13,976.30 and 8,562.61

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Solution

The fourth proportional to 9,313.48, 13,976.30 and 8,562.61 is: 12,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.48 : 13,976.30 = 8,562.61 : x
  2. Step 2: Convert to fraction form
    9,313.48/13,976.30 = 8,562.61/x
  3. Step 3: Cross multiply
    9,313.48x = 13,976.30 × 8,562.61
  4. Step 4: Simplify right side
    9,313.48x = 119,673,606.14
  5. Step 5: Solve for x
    x = 119,673,606.14/9,313.48
  6. Step 6: Final answer
    x = 12,849.50

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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.