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Finding the Fourth Proportional to 9,574.68, 13,210.91 and 5,540.88

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Solution

The fourth proportional to 9,574.68, 13,210.91 and 5,540.88 is: 7,645.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,574.68 : 13,210.91 = 5,540.88 : x
  2. Step 2: Convert to fraction form
    9,574.68/13,210.91 = 5,540.88/x
  3. Step 3: Cross multiply
    9,574.68x = 13,210.91 × 5,540.88
  4. Step 4: Simplify right side
    9,574.68x = 73,200,080.85
  5. Step 5: Solve for x
    x = 73,200,080.85/9,574.68
  6. Step 6: Final answer
    x = 7,645.17

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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.