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Finding the Fourth Proportional to 9,432.05, 13,019.94 and 6,075

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Solution

The fourth proportional to 9,432.05, 13,019.94 and 6,075 is: 8,385.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432.05 : 13,019.94 = 6,075 : x
  2. Step 2: Convert to fraction form
    9,432.05/13,019.94 = 6,075/x
  3. Step 3: Cross multiply
    9,432.05x = 13,019.94 × 6,075
  4. Step 4: Simplify right side
    9,432.05x = 79,096,135.50
  5. Step 5: Solve for x
    x = 79,096,135.50/9,432.05
  6. Step 6: Final answer
    x = 8,385.89

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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.