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Finding the Fourth Proportional to 9,301.20, 12,835.44 and 5,323.20

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Solution

The fourth proportional to 9,301.20, 12,835.44 and 5,323.20 is: 7,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,301.20 : 12,835.44 = 5,323.20 : x
  2. Step 2: Convert to fraction form
    9,301.20/12,835.44 = 5,323.20/x
  3. Step 3: Cross multiply
    9,301.20x = 12,835.44 × 5,323.20
  4. Step 4: Simplify right side
    9,301.20x = 68,325,614.21
  5. Step 5: Solve for x
    x = 68,325,614.21/9,301.20
  6. Step 6: Final answer
    x = 7,345.89

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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.