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Finding the Fourth Proportional to 7,390.20, 9,821.19 and 7,390.20

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Solution

The fourth proportional to 7,390.20, 9,821.19 and 7,390.20 is: 9,821.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,390.20 : 9,821.19 = 7,390.20 : x
  2. Step 2: Convert to fraction form
    7,390.20/9,821.19 = 7,390.20/x
  3. Step 3: Cross multiply
    7,390.20x = 9,821.19 × 7,390.20
  4. Step 4: Simplify right side
    7,390.20x = 72,580,558.34
  5. Step 5: Solve for x
    x = 72,580,558.34/7,390.20
  6. Step 6: Final answer
    x = 9,821.19

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.