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Finding the Fourth Proportional to 9,716.87, 14,572.46 and 4,448.90

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Solution

The fourth proportional to 9,716.87, 14,572.46 and 4,448.90 is: 6,672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.87 : 14,572.46 = 4,448.90 : x
  2. Step 2: Convert to fraction form
    9,716.87/14,572.46 = 4,448.90/x
  3. Step 3: Cross multiply
    9,716.87x = 14,572.46 × 4,448.90
  4. Step 4: Simplify right side
    9,716.87x = 64,831,322.19
  5. Step 5: Solve for x
    x = 64,831,322.19/9,716.87
  6. Step 6: Final answer
    x = 6,672.04

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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.