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Finding the Fourth Proportional to 6,364.44, 8,782.94 and 3,569.76

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Solution

The fourth proportional to 6,364.44, 8,782.94 and 3,569.76 is: 4,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.44 : 8,782.94 = 3,569.76 : x
  2. Step 2: Convert to fraction form
    6,364.44/8,782.94 = 3,569.76/x
  3. Step 3: Cross multiply
    6,364.44x = 8,782.94 × 3,569.76
  4. Step 4: Simplify right side
    6,364.44x = 31,352,987.89
  5. Step 5: Solve for x
    x = 31,352,987.89/6,364.44
  6. Step 6: Final answer
    x = 4,926.28

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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.