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Finding the Fourth Proportional to 9,780.74, 14,671.05 and 2,385.20

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Solution

The fourth proportional to 9,780.74, 14,671.05 and 2,385.20 is: 3,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.74 : 14,671.05 = 2,385.20 : x
  2. Step 2: Convert to fraction form
    9,780.74/14,671.05 = 2,385.20/x
  3. Step 3: Cross multiply
    9,780.74x = 14,671.05 × 2,385.20
  4. Step 4: Simplify right side
    9,780.74x = 34,993,315.10
  5. Step 5: Solve for x
    x = 34,993,315.10/9,780.74
  6. Step 6: Final answer
    x = 3,577.78

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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.