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Finding the Fourth Proportional to 6,421.12, 8,862.16 and 3,904.02

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Solution

The fourth proportional to 6,421.12, 8,862.16 and 3,904.02 is: 5,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.12 : 8,862.16 = 3,904.02 : x
  2. Step 2: Convert to fraction form
    6,421.12/8,862.16 = 3,904.02/x
  3. Step 3: Cross multiply
    6,421.12x = 8,862.16 × 3,904.02
  4. Step 4: Simplify right side
    6,421.12x = 34,598,049.88
  5. Step 5: Solve for x
    x = 34,598,049.88/6,421.12
  6. Step 6: Final answer
    x = 5,388.16

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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.