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Finding the Fourth Proportional to 9,409.51, 14,114.24 and 2,390.05

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Solution

The fourth proportional to 9,409.51, 14,114.24 and 2,390.05 is: 3,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.51 : 14,114.24 = 2,390.05 : x
  2. Step 2: Convert to fraction form
    9,409.51/14,114.24 = 2,390.05/x
  3. Step 3: Cross multiply
    9,409.51x = 14,114.24 × 2,390.05
  4. Step 4: Simplify right side
    9,409.51x = 33,733,739.31
  5. Step 5: Solve for x
    x = 33,733,739.31/9,409.51
  6. Step 6: Final answer
    x = 3,585.07

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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.