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Finding the Fourth Proportional to 9,713.25, 14,570.96 and 3,557.25

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Solution

The fourth proportional to 9,713.25, 14,570.96 and 3,557.25 is: 5,336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.25 : 14,570.96 = 3,557.25 : x
  2. Step 2: Convert to fraction form
    9,713.25/14,570.96 = 3,557.25/x
  3. Step 3: Cross multiply
    9,713.25x = 14,570.96 × 3,557.25
  4. Step 4: Simplify right side
    9,713.25x = 51,832,529.67
  5. Step 5: Solve for x
    x = 51,832,529.67/9,713.25
  6. Step 6: Final answer
    x = 5,336.27

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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.