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Finding the Fourth Proportional to 7,121.21, 9,830 and 6,373.84

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Solution

The fourth proportional to 7,121.21, 9,830 and 6,373.84 is: 8,798.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.21 : 9,830 = 6,373.84 : x
  2. Step 2: Convert to fraction form
    7,121.21/9,830 = 6,373.84/x
  3. Step 3: Cross multiply
    7,121.21x = 9,830 × 6,373.84
  4. Step 4: Simplify right side
    7,121.21x = 62,654,822.63
  5. Step 5: Solve for x
    x = 62,654,822.63/7,121.21
  6. Step 6: Final answer
    x = 8,798.34

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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.