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Finding the Fourth Proportional to 6,705.29, 9,247.24 and 4,187.63

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Solution

The fourth proportional to 6,705.29, 9,247.24 and 4,187.63 is: 5,775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.29 : 9,247.24 = 4,187.63 : x
  2. Step 2: Convert to fraction form
    6,705.29/9,247.24 = 4,187.63/x
  3. Step 3: Cross multiply
    6,705.29x = 9,247.24 × 4,187.63
  4. Step 4: Simplify right side
    6,705.29x = 38,724,019.64
  5. Step 5: Solve for x
    x = 38,724,019.64/6,705.29
  6. Step 6: Final answer
    x = 5,775.14

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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.