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Finding the Fourth Proportional to 12,770.85, 19,137.54 and 6,437.07

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Solution

The fourth proportional to 12,770.85, 19,137.54 and 6,437.07 is: 9,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,770.85 : 19,137.54 = 6,437.07 : x
  2. Step 2: Convert to fraction form
    12,770.85/19,137.54 = 6,437.07/x
  3. Step 3: Cross multiply
    12,770.85x = 19,137.54 × 6,437.07
  4. Step 4: Simplify right side
    12,770.85x = 123,189,684.61
  5. Step 5: Solve for x
    x = 123,189,684.61/12,770.85
  6. Step 6: Final answer
    x = 9,646.16

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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.