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Finding the Fourth Proportional to 9,705.53, 14,554.70 and 3,463.88

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Solution

The fourth proportional to 9,705.53, 14,554.70 and 3,463.88 is: 5,194.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.53 : 14,554.70 = 3,463.88 : x
  2. Step 2: Convert to fraction form
    9,705.53/14,554.70 = 3,463.88/x
  3. Step 3: Cross multiply
    9,705.53x = 14,554.70 × 3,463.88
  4. Step 4: Simplify right side
    9,705.53x = 50,415,657.13
  5. Step 5: Solve for x
    x = 50,415,657.13/9,705.53
  6. Step 6: Final answer
    x = 5,194.53

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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.