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Finding the Fourth Proportional to 6,205.61, 9,308.72 and 2,045.60

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Solution

The fourth proportional to 6,205.61, 9,308.72 and 2,045.60 is: 3,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.61 : 9,308.72 = 2,045.60 : x
  2. Step 2: Convert to fraction form
    6,205.61/9,308.72 = 2,045.60/x
  3. Step 3: Cross multiply
    6,205.61x = 9,308.72 × 2,045.60
  4. Step 4: Simplify right side
    6,205.61x = 19,041,963.47
  5. Step 5: Solve for x
    x = 19,041,963.47/6,205.61
  6. Step 6: Final answer
    x = 3,068.51

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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.