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Finding the Fourth Proportional to 9,581.48, 14,369.34 and 3,007.24

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Solution

The fourth proportional to 9,581.48, 14,369.34 and 3,007.24 is: 4,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,581.48 : 14,369.34 = 3,007.24 : x
  2. Step 2: Convert to fraction form
    9,581.48/14,369.34 = 3,007.24/x
  3. Step 3: Cross multiply
    9,581.48x = 14,369.34 × 3,007.24
  4. Step 4: Simplify right side
    9,581.48x = 43,212,054.02
  5. Step 5: Solve for x
    x = 43,212,054.02/9,581.48
  6. Step 6: Final answer
    x = 4,509.96

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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.