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Finding the Fourth Proportional to 9,580.58, 13,223.02 and 5,997.20

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Solution

The fourth proportional to 9,580.58, 13,223.02 and 5,997.20 is: 8,277.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.58 : 13,223.02 = 5,997.20 : x
  2. Step 2: Convert to fraction form
    9,580.58/13,223.02 = 5,997.20/x
  3. Step 3: Cross multiply
    9,580.58x = 13,223.02 × 5,997.20
  4. Step 4: Simplify right side
    9,580.58x = 79,301,095.54
  5. Step 5: Solve for x
    x = 79,301,095.54/9,580.58
  6. Step 6: Final answer
    x = 8,277.28

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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.