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Finding the Fourth Proportional to 9,434.34, 14,139.09 and 7,075.80

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Solution

The fourth proportional to 9,434.34, 14,139.09 and 7,075.80 is: 10,604.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.34 : 14,139.09 = 7,075.80 : x
  2. Step 2: Convert to fraction form
    9,434.34/14,139.09 = 7,075.80/x
  3. Step 3: Cross multiply
    9,434.34x = 14,139.09 × 7,075.80
  4. Step 4: Simplify right side
    9,434.34x = 100,045,373.02
  5. Step 5: Solve for x
    x = 100,045,373.02/9,434.34
  6. Step 6: Final answer
    x = 10,604.38

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