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Finding the Fourth Proportional to 6,412, 8,848.70 and 3,617.50

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Solution

The fourth proportional to 6,412, 8,848.70 and 3,617.50 is: 4,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 8,848.70 = 3,617.50 : x
  2. Step 2: Convert to fraction form
    6,412/8,848.70 = 3,617.50/x
  3. Step 3: Cross multiply
    6,412x = 8,848.70 × 3,617.50
  4. Step 4: Simplify right side
    6,412x = 32,010,172.25
  5. Step 5: Solve for x
    x = 32,010,172.25/6,412
  6. Step 6: Final answer
    x = 4,992.23

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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.