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Finding the Fourth Proportional to 9,174.24, 13,763.05 and 3,909.24

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Solution

The fourth proportional to 9,174.24, 13,763.05 and 3,909.24 is: 5,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.24 : 13,763.05 = 3,909.24 : x
  2. Step 2: Convert to fraction form
    9,174.24/13,763.05 = 3,909.24/x
  3. Step 3: Cross multiply
    9,174.24x = 13,763.05 × 3,909.24
  4. Step 4: Simplify right side
    9,174.24x = 53,803,055.81
  5. Step 5: Solve for x
    x = 53,803,055.81/9,174.24
  6. Step 6: Final answer
    x = 5,864.58

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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.