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Finding the Fourth Proportional to 6,537.84, 9,808.64 and 2,377.78

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Solution

The fourth proportional to 6,537.84, 9,808.64 and 2,377.78 is: 3,567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.84 : 9,808.64 = 2,377.78 : x
  2. Step 2: Convert to fraction form
    6,537.84/9,808.64 = 2,377.78/x
  3. Step 3: Cross multiply
    6,537.84x = 9,808.64 × 2,377.78
  4. Step 4: Simplify right side
    6,537.84x = 23,322,788.02
  5. Step 5: Solve for x
    x = 23,322,788.02/6,537.84
  6. Step 6: Final answer
    x = 3,567.35

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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.