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Finding the Fourth Proportional to 9,722.64, 14,586.24 and 3,483

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Solution

The fourth proportional to 9,722.64, 14,586.24 and 3,483 is: 5,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.64 : 14,586.24 = 3,483 : x
  2. Step 2: Convert to fraction form
    9,722.64/14,586.24 = 3,483/x
  3. Step 3: Cross multiply
    9,722.64x = 14,586.24 × 3,483
  4. Step 4: Simplify right side
    9,722.64x = 50,803,873.92
  5. Step 5: Solve for x
    x = 50,803,873.92/9,722.64
  6. Step 6: Final answer
    x = 5,225.32

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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.