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Finding the Fourth Proportional to 9,527.10, 13,141.26 and 7,436.22

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Solution

The fourth proportional to 9,527.10, 13,141.26 and 7,436.22 is: 10,257.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,527.10 : 13,141.26 = 7,436.22 : x
  2. Step 2: Convert to fraction form
    9,527.10/13,141.26 = 7,436.22/x
  3. Step 3: Cross multiply
    9,527.10x = 13,141.26 × 7,436.22
  4. Step 4: Simplify right side
    9,527.10x = 97,721,300.44
  5. Step 5: Solve for x
    x = 97,721,300.44/9,527.10
  6. Step 6: Final answer
    x = 10,257.19

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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.