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Finding the Fourth Proportional to 9,672.78, 14,506.02 and 4,992.12

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Solution

The fourth proportional to 9,672.78, 14,506.02 and 4,992.12 is: 7,486.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.78 : 14,506.02 = 4,992.12 : x
  2. Step 2: Convert to fraction form
    9,672.78/14,506.02 = 4,992.12/x
  3. Step 3: Cross multiply
    9,672.78x = 14,506.02 × 4,992.12
  4. Step 4: Simplify right side
    9,672.78x = 72,415,792.56
  5. Step 5: Solve for x
    x = 72,415,792.56/9,672.78
  6. Step 6: Final answer
    x = 7,486.55

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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.