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Finding the Fourth Proportional to 9,858.51, 13,604.24 and 5,381.42

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Solution

The fourth proportional to 9,858.51, 13,604.24 and 5,381.42 is: 7,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.51 : 13,604.24 = 5,381.42 : x
  2. Step 2: Convert to fraction form
    9,858.51/13,604.24 = 5,381.42/x
  3. Step 3: Cross multiply
    9,858.51x = 13,604.24 × 5,381.42
  4. Step 4: Simplify right side
    9,858.51x = 73,210,074.65
  5. Step 5: Solve for x
    x = 73,210,074.65/9,858.51
  6. Step 6: Final answer
    x = 7,426.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.