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Finding the Fourth Proportional to 9,582.56, 13,224.03 and 5,390

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Solution

The fourth proportional to 9,582.56, 13,224.03 and 5,390 is: 7,438.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.56 : 13,224.03 = 5,390 : x
  2. Step 2: Convert to fraction form
    9,582.56/13,224.03 = 5,390/x
  3. Step 3: Cross multiply
    9,582.56x = 13,224.03 × 5,390
  4. Step 4: Simplify right side
    9,582.56x = 71,277,521.70
  5. Step 5: Solve for x
    x = 71,277,521.70/9,582.56
  6. Step 6: Final answer
    x = 7,438.25

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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.