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Finding the Fourth Proportional to 9,722.25, 14,585.54 and 3,566.25

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Solution

The fourth proportional to 9,722.25, 14,585.54 and 3,566.25 is: 5,350.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.25 : 14,585.54 = 3,566.25 : x
  2. Step 2: Convert to fraction form
    9,722.25/14,585.54 = 3,566.25/x
  3. Step 3: Cross multiply
    9,722.25x = 14,585.54 × 3,566.25
  4. Step 4: Simplify right side
    9,722.25x = 52,015,664.19
  5. Step 5: Solve for x
    x = 52,015,664.19/9,722.25
  6. Step 6: Final answer
    x = 5,350.17

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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.