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Finding the Fourth Proportional to 6,742.62, 9,303.30 and 4,089.96

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Solution

The fourth proportional to 6,742.62, 9,303.30 and 4,089.96 is: 5,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.62 : 9,303.30 = 4,089.96 : x
  2. Step 2: Convert to fraction form
    6,742.62/9,303.30 = 4,089.96/x
  3. Step 3: Cross multiply
    6,742.62x = 9,303.30 × 4,089.96
  4. Step 4: Simplify right side
    6,742.62x = 38,050,124.87
  5. Step 5: Solve for x
    x = 38,050,124.87/6,742.62
  6. Step 6: Final answer
    x = 5,643.23

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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.