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Finding the Fourth Proportional to 6,845.42, 9,444.35 and 5,584.28

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Solution

The fourth proportional to 6,845.42, 9,444.35 and 5,584.28 is: 7,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.42 : 9,444.35 = 5,584.28 : x
  2. Step 2: Convert to fraction form
    6,845.42/9,444.35 = 5,584.28/x
  3. Step 3: Cross multiply
    6,845.42x = 9,444.35 × 5,584.28
  4. Step 4: Simplify right side
    6,845.42x = 52,739,819.67
  5. Step 5: Solve for x
    x = 52,739,819.67/6,845.42
  6. Step 6: Final answer
    x = 7,704.40

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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.