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Finding the Fourth Proportional to 9,201.65, 13,802.93 and 2,628.81

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Solution

The fourth proportional to 9,201.65, 13,802.93 and 2,628.81 is: 3,943.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.65 : 13,802.93 = 2,628.81 : x
  2. Step 2: Convert to fraction form
    9,201.65/13,802.93 = 2,628.81/x
  3. Step 3: Cross multiply
    9,201.65x = 13,802.93 × 2,628.81
  4. Step 4: Simplify right side
    9,201.65x = 36,285,267.27
  5. Step 5: Solve for x
    x = 36,285,267.27/9,201.65
  6. Step 6: Final answer
    x = 3,943.35

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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.