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Finding the Fourth Proportional to 9,588.54, 13,228.80 and 5,608.20

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Solution

The fourth proportional to 9,588.54, 13,228.80 and 5,608.20 is: 7,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.54 : 13,228.80 = 5,608.20 : x
  2. Step 2: Convert to fraction form
    9,588.54/13,228.80 = 5,608.20/x
  3. Step 3: Cross multiply
    9,588.54x = 13,228.80 × 5,608.20
  4. Step 4: Simplify right side
    9,588.54x = 74,189,756.16
  5. Step 5: Solve for x
    x = 74,189,756.16/9,588.54
  6. Step 6: Final answer
    x = 7,737.34

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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.