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Finding the Fourth Proportional to 9,705.80, 14,559.24 and 3,132.56

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Solution

The fourth proportional to 9,705.80, 14,559.24 and 3,132.56 is: 4,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.80 : 14,559.24 = 3,132.56 : x
  2. Step 2: Convert to fraction form
    9,705.80/14,559.24 = 3,132.56/x
  3. Step 3: Cross multiply
    9,705.80x = 14,559.24 × 3,132.56
  4. Step 4: Simplify right side
    9,705.80x = 45,607,692.85
  5. Step 5: Solve for x
    x = 45,607,692.85/9,705.80
  6. Step 6: Final answer
    x = 4,699.01

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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.