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Finding the Fourth Proportional to 6,775.48, 9,361.88 and 5,594.50

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Solution

The fourth proportional to 6,775.48, 9,361.88 and 5,594.50 is: 7,730.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.48 : 9,361.88 = 5,594.50 : x
  2. Step 2: Convert to fraction form
    6,775.48/9,361.88 = 5,594.50/x
  3. Step 3: Cross multiply
    6,775.48x = 9,361.88 × 5,594.50
  4. Step 4: Simplify right side
    6,775.48x = 52,375,042.37
  5. Step 5: Solve for x
    x = 52,375,042.37/6,775.48
  6. Step 6: Final answer
    x = 7,730.08

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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.