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Finding the Fourth Proportional to 9,218, 13,824.94 and 4,474.01

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Solution

The fourth proportional to 9,218, 13,824.94 and 4,474.01 is: 6,710.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218 : 13,824.94 = 4,474.01 : x
  2. Step 2: Convert to fraction form
    9,218/13,824.94 = 4,474.01/x
  3. Step 3: Cross multiply
    9,218x = 13,824.94 × 4,474.01
  4. Step 4: Simplify right side
    9,218x = 61,852,919.81
  5. Step 5: Solve for x
    x = 61,852,919.81/9,218
  6. Step 6: Final answer
    x = 6,710.02

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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.