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Finding the Fourth Proportional to 6,412, 8,848.64 and 3,617.52

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Solution

The fourth proportional to 6,412, 8,848.64 and 3,617.52 is: 4,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412 : 8,848.64 = 3,617.52 : x
  2. Step 2: Convert to fraction form
    6,412/8,848.64 = 3,617.52/x
  3. Step 3: Cross multiply
    6,412x = 8,848.64 × 3,617.52
  4. Step 4: Simplify right side
    6,412x = 32,010,132.17
  5. Step 5: Solve for x
    x = 32,010,132.17/6,412
  6. Step 6: Final answer
    x = 4,992.22

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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.