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Finding the Fourth Proportional to 6,205.10, 9,307.65 and 4,892.90

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Solution

The fourth proportional to 6,205.10, 9,307.65 and 4,892.90 is: 7,339.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.10 : 9,307.65 = 4,892.90 : x
  2. Step 2: Convert to fraction form
    6,205.10/9,307.65 = 4,892.90/x
  3. Step 3: Cross multiply
    6,205.10x = 9,307.65 × 4,892.90
  4. Step 4: Simplify right side
    6,205.10x = 45,541,400.69
  5. Step 5: Solve for x
    x = 45,541,400.69/6,205.10
  6. Step 6: Final answer
    x = 7,339.35

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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.