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Finding the Fourth Proportional to 6,404.50, 9,607.38 and 1,787.50

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Solution

The fourth proportional to 6,404.50, 9,607.38 and 1,787.50 is: 2,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.50 : 9,607.38 = 1,787.50 : x
  2. Step 2: Convert to fraction form
    6,404.50/9,607.38 = 1,787.50/x
  3. Step 3: Cross multiply
    6,404.50x = 9,607.38 × 1,787.50
  4. Step 4: Simplify right side
    6,404.50x = 17,173,191.75
  5. Step 5: Solve for x
    x = 17,173,191.75/6,404.50
  6. Step 6: Final answer
    x = 2,681.43

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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.