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Finding the Fourth Proportional to 9,865.63, 13,614.34 and 5,389.40

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Solution

The fourth proportional to 9,865.63, 13,614.34 and 5,389.40 is: 7,437.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.63 : 13,614.34 = 5,389.40 : x
  2. Step 2: Convert to fraction form
    9,865.63/13,614.34 = 5,389.40/x
  3. Step 3: Cross multiply
    9,865.63x = 13,614.34 × 5,389.40
  4. Step 4: Simplify right side
    9,865.63x = 73,373,144.56
  5. Step 5: Solve for x
    x = 73,373,144.56/9,865.63
  6. Step 6: Final answer
    x = 7,437.25

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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.