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Finding the Fourth Proportional to 9,875.42, 13,627.34 and 5,399.26

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Solution

The fourth proportional to 9,875.42, 13,627.34 and 5,399.26 is: 7,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,875.42 : 13,627.34 = 5,399.26 : x
  2. Step 2: Convert to fraction form
    9,875.42/13,627.34 = 5,399.26/x
  3. Step 3: Cross multiply
    9,875.42x = 13,627.34 × 5,399.26
  4. Step 4: Simplify right side
    9,875.42x = 73,577,510.95
  5. Step 5: Solve for x
    x = 73,577,510.95/9,875.42
  6. Step 6: Final answer
    x = 7,450.57

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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.