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Finding the Fourth Proportional to 9,549.64, 14,322.30 and 3,707.56

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Solution

The fourth proportional to 9,549.64, 14,322.30 and 3,707.56 is: 5,560.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,549.64 : 14,322.30 = 3,707.56 : x
  2. Step 2: Convert to fraction form
    9,549.64/14,322.30 = 3,707.56/x
  3. Step 3: Cross multiply
    9,549.64x = 14,322.30 × 3,707.56
  4. Step 4: Simplify right side
    9,549.64x = 53,100,786.59
  5. Step 5: Solve for x
    x = 53,100,786.59/9,549.64
  6. Step 6: Final answer
    x = 5,560.50

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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.