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Finding the Fourth Proportional to 7,164.12, 9,887.82 and 4,509.72

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Solution

The fourth proportional to 7,164.12, 9,887.82 and 4,509.72 is: 6,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.12 : 9,887.82 = 4,509.72 : x
  2. Step 2: Convert to fraction form
    7,164.12/9,887.82 = 4,509.72/x
  3. Step 3: Cross multiply
    7,164.12x = 9,887.82 × 4,509.72
  4. Step 4: Simplify right side
    7,164.12x = 44,591,299.61
  5. Step 5: Solve for x
    x = 44,591,299.61/7,164.12
  6. Step 6: Final answer
    x = 6,224.25

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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.