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Finding the Fourth Proportional to 9,495.24, 14,215.32 and 7,164.87

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Solution

The fourth proportional to 9,495.24, 14,215.32 and 7,164.87 is: 10,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,495.24 : 14,215.32 = 7,164.87 : x
  2. Step 2: Convert to fraction form
    9,495.24/14,215.32 = 7,164.87/x
  3. Step 3: Cross multiply
    9,495.24x = 14,215.32 × 7,164.87
  4. Step 4: Simplify right side
    9,495.24x = 101,850,919.81
  5. Step 5: Solve for x
    x = 101,850,919.81/9,495.24
  6. Step 6: Final answer
    x = 10,726.52

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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.