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Finding the Fourth Proportional to 9,677.95, 14,518.98 and 3,108.75

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Solution

The fourth proportional to 9,677.95, 14,518.98 and 3,108.75 is: 4,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.95 : 14,518.98 = 3,108.75 : x
  2. Step 2: Convert to fraction form
    9,677.95/14,518.98 = 3,108.75/x
  3. Step 3: Cross multiply
    9,677.95x = 14,518.98 × 3,108.75
  4. Step 4: Simplify right side
    9,677.95x = 45,135,863.53
  5. Step 5: Solve for x
    x = 45,135,863.53/9,677.95
  6. Step 6: Final answer
    x = 4,663.78

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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.