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Finding the Fourth Proportional to 9,705.80, 14,558.70 and 2,780.30

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Solution

The fourth proportional to 9,705.80, 14,558.70 and 2,780.30 is: 4,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.80 : 14,558.70 = 2,780.30 : x
  2. Step 2: Convert to fraction form
    9,705.80/14,558.70 = 2,780.30/x
  3. Step 3: Cross multiply
    9,705.80x = 14,558.70 × 2,780.30
  4. Step 4: Simplify right side
    9,705.80x = 40,477,553.61
  5. Step 5: Solve for x
    x = 40,477,553.61/9,705.80
  6. Step 6: Final answer
    x = 4,170.45

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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.