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Finding the Fourth Proportional to 9,473.34, 14,217.34 and 7,628.98

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Solution

The fourth proportional to 9,473.34, 14,217.34 and 7,628.98 is: 11,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.34 : 14,217.34 = 7,628.98 : x
  2. Step 2: Convert to fraction form
    9,473.34/14,217.34 = 7,628.98/x
  3. Step 3: Cross multiply
    9,473.34x = 14,217.34 × 7,628.98
  4. Step 4: Simplify right side
    9,473.34x = 108,463,802.51
  5. Step 5: Solve for x
    x = 108,463,802.51/9,473.34
  6. Step 6: Final answer
    x = 11,449.37

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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.