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Finding the Fourth Proportional to 9,445.42, 14,138.97 and 8,045.74

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Solution

The fourth proportional to 9,445.42, 14,138.97 and 8,045.74 is: 12,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.42 : 14,138.97 = 8,045.74 : x
  2. Step 2: Convert to fraction form
    9,445.42/14,138.97 = 8,045.74/x
  3. Step 3: Cross multiply
    9,445.42x = 14,138.97 × 8,045.74
  4. Step 4: Simplify right side
    9,445.42x = 113,758,476.49
  5. Step 5: Solve for x
    x = 113,758,476.49/9,445.42
  6. Step 6: Final answer
    x = 12,043.77

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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.