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Finding the Fourth Proportional to 6,468.39, 9,702.57 and 1,851.39

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Solution

The fourth proportional to 6,468.39, 9,702.57 and 1,851.39 is: 2,777.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.39 : 9,702.57 = 1,851.39 : x
  2. Step 2: Convert to fraction form
    6,468.39/9,702.57 = 1,851.39/x
  3. Step 3: Cross multiply
    6,468.39x = 9,702.57 × 1,851.39
  4. Step 4: Simplify right side
    6,468.39x = 17,963,241.07
  5. Step 5: Solve for x
    x = 17,963,241.07/6,468.39
  6. Step 6: Final answer
    x = 2,777.08

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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.