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Finding the Fourth Proportional to 6,305.04, 9,459.38 and 5,146.00

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Solution

The fourth proportional to 6,305.04, 9,459.38 and 5,146.00 is: 7,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305.04 : 9,459.38 = 5,146.00 : x
  2. Step 2: Convert to fraction form
    6,305.04/9,459.38 = 5,146.00/x
  3. Step 3: Cross multiply
    6,305.04x = 9,459.38 × 5,146.00
  4. Step 4: Simplify right side
    6,305.04x = 48,677,958.70
  5. Step 5: Solve for x
    x = 48,677,958.70/6,305.04
  6. Step 6: Final answer
    x = 7,720.48

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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.