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Finding the Fourth Proportional to 6,205.01, 9,307.64 and 2,308.64

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Solution

The fourth proportional to 6,205.01, 9,307.64 and 2,308.64 is: 3,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.01 : 9,307.64 = 2,308.64 : x
  2. Step 2: Convert to fraction form
    6,205.01/9,307.64 = 2,308.64/x
  3. Step 3: Cross multiply
    6,205.01x = 9,307.64 × 2,308.64
  4. Step 4: Simplify right side
    6,205.01x = 21,487,949.24
  5. Step 5: Solve for x
    x = 21,487,949.24/6,205.01
  6. Step 6: Final answer
    x = 3,463.00

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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.