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Finding the Fourth Proportional to 9,146.37, 13,719.36 and 4,216.01

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Solution

The fourth proportional to 9,146.37, 13,719.36 and 4,216.01 is: 6,323.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.37 : 13,719.36 = 4,216.01 : x
  2. Step 2: Convert to fraction form
    9,146.37/13,719.36 = 4,216.01/x
  3. Step 3: Cross multiply
    9,146.37x = 13,719.36 × 4,216.01
  4. Step 4: Simplify right side
    9,146.37x = 57,840,921.04
  5. Step 5: Solve for x
    x = 57,840,921.04/9,146.37
  6. Step 6: Final answer
    x = 6,323.92

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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.