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Finding the Fourth Proportional to 9,405.88, 14,096.63 and 7,047.29

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Solution

The fourth proportional to 9,405.88, 14,096.63 and 7,047.29 is: 10,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.88 : 14,096.63 = 7,047.29 : x
  2. Step 2: Convert to fraction form
    9,405.88/14,096.63 = 7,047.29/x
  3. Step 3: Cross multiply
    9,405.88x = 14,096.63 × 7,047.29
  4. Step 4: Simplify right side
    9,405.88x = 99,343,092.49
  5. Step 5: Solve for x
    x = 99,343,092.49/9,405.88
  6. Step 6: Final answer
    x = 10,561.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.