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Finding the Fourth Proportional to 6,566.76, 9,858.74 and 3,903.23

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Solution

The fourth proportional to 6,566.76, 9,858.74 and 3,903.23 is: 5,859.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.76 : 9,858.74 = 3,903.23 : x
  2. Step 2: Convert to fraction form
    6,566.76/9,858.74 = 3,903.23/x
  3. Step 3: Cross multiply
    6,566.76x = 9,858.74 × 3,903.23
  4. Step 4: Simplify right side
    6,566.76x = 38,480,934.86
  5. Step 5: Solve for x
    x = 38,480,934.86/6,566.76
  6. Step 6: Final answer
    x = 5,859.96

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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.