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Finding the Fourth Proportional to 9,402.85, 14,106.06 and 3,780.96

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Solution

The fourth proportional to 9,402.85, 14,106.06 and 3,780.96 is: 5,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.85 : 14,106.06 = 3,780.96 : x
  2. Step 2: Convert to fraction form
    9,402.85/14,106.06 = 3,780.96/x
  3. Step 3: Cross multiply
    9,402.85x = 14,106.06 × 3,780.96
  4. Step 4: Simplify right side
    9,402.85x = 53,334,395.72
  5. Step 5: Solve for x
    x = 53,334,395.72/9,402.85
  6. Step 6: Final answer
    x = 5,672.15

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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.