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Finding the Fourth Proportional to 6,597.21, 9,897.84 and 2,214.30

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Solution

The fourth proportional to 6,597.21, 9,897.84 and 2,214.30 is: 3,322.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,597.21 : 9,897.84 = 2,214.30 : x
  2. Step 2: Convert to fraction form
    6,597.21/9,897.84 = 2,214.30/x
  3. Step 3: Cross multiply
    6,597.21x = 9,897.84 × 2,214.30
  4. Step 4: Simplify right side
    6,597.21x = 21,916,787.11
  5. Step 5: Solve for x
    x = 21,916,787.11/6,597.21
  6. Step 6: Final answer
    x = 3,322.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.