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Finding the Fourth Proportional to 6,312.66, 9,420.34 and 5,544.78

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Solution

The fourth proportional to 6,312.66, 9,420.34 and 5,544.78 is: 8,274.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,312.66 : 9,420.34 = 5,544.78 : x
  2. Step 2: Convert to fraction form
    6,312.66/9,420.34 = 5,544.78/x
  3. Step 3: Cross multiply
    6,312.66x = 9,420.34 × 5,544.78
  4. Step 4: Simplify right side
    6,312.66x = 52,233,712.83
  5. Step 5: Solve for x
    x = 52,233,712.83/6,312.66
  6. Step 6: Final answer
    x = 8,274.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.