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Finding the Fourth Proportional to 9,529.98, 14,295.93 and 3,289.17

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Solution

The fourth proportional to 9,529.98, 14,295.93 and 3,289.17 is: 4,934.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,529.98 : 14,295.93 = 3,289.17 : x
  2. Step 2: Convert to fraction form
    9,529.98/14,295.93 = 3,289.17/x
  3. Step 3: Cross multiply
    9,529.98x = 14,295.93 × 3,289.17
  4. Step 4: Simplify right side
    9,529.98x = 47,021,744.08
  5. Step 5: Solve for x
    x = 47,021,744.08/9,529.98
  6. Step 6: Final answer
    x = 4,934.09

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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.