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Finding the Fourth Proportional to 6,221.42, 9,332.25 and 1,838.87

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Solution

The fourth proportional to 6,221.42, 9,332.25 and 1,838.87 is: 2,758.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,221.42 : 9,332.25 = 1,838.87 : x
  2. Step 2: Convert to fraction form
    6,221.42/9,332.25 = 1,838.87/x
  3. Step 3: Cross multiply
    6,221.42x = 9,332.25 × 1,838.87
  4. Step 4: Simplify right side
    6,221.42x = 17,160,838.79
  5. Step 5: Solve for x
    x = 17,160,838.79/6,221.42
  6. Step 6: Final answer
    x = 2,758.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.