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Finding the Fourth Proportional to 6,360.96, 9,546.00 and 4,712.54

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Solution

The fourth proportional to 6,360.96, 9,546.00 and 4,712.54 is: 7,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,360.96 : 9,546.00 = 4,712.54 : x
  2. Step 2: Convert to fraction form
    6,360.96/9,546.00 = 4,712.54/x
  3. Step 3: Cross multiply
    6,360.96x = 9,546.00 × 4,712.54
  4. Step 4: Simplify right side
    6,360.96x = 44,985,883.28
  5. Step 5: Solve for x
    x = 44,985,883.28/6,360.96
  6. Step 6: Final answer
    x = 7,072.18

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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.