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Finding the Fourth Proportional to 9,645.56, 14,463.48 and 4,707.80

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Solution

The fourth proportional to 9,645.56, 14,463.48 and 4,707.80 is: 7,059.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.56 : 14,463.48 = 4,707.80 : x
  2. Step 2: Convert to fraction form
    9,645.56/14,463.48 = 4,707.80/x
  3. Step 3: Cross multiply
    9,645.56x = 14,463.48 × 4,707.80
  4. Step 4: Simplify right side
    9,645.56x = 68,091,171.14
  5. Step 5: Solve for x
    x = 68,091,171.14/9,645.56
  6. Step 6: Final answer
    x = 7,059.33

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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.