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Finding the Fourth Proportional to 10,409.74, 14,367.68 and 6,632.00

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Solution

The fourth proportional to 10,409.74, 14,367.68 and 6,632.00 is: 9,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409.74 : 14,367.68 = 6,632.00 : x
  2. Step 2: Convert to fraction form
    10,409.74/14,367.68 = 6,632.00/x
  3. Step 3: Cross multiply
    10,409.74x = 14,367.68 × 6,632.00
  4. Step 4: Simplify right side
    10,409.74x = 95,286,467.92
  5. Step 5: Solve for x
    x = 95,286,467.92/10,409.74
  6. Step 6: Final answer
    x = 9,153.59

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