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Finding the Fourth Proportional to 9,492.90, 14,239.58 and 2,919.15

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Solution

The fourth proportional to 9,492.90, 14,239.58 and 2,919.15 is: 4,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.90 : 14,239.58 = 2,919.15 : x
  2. Step 2: Convert to fraction form
    9,492.90/14,239.58 = 2,919.15/x
  3. Step 3: Cross multiply
    9,492.90x = 14,239.58 × 2,919.15
  4. Step 4: Simplify right side
    9,492.90x = 41,567,469.96
  5. Step 5: Solve for x
    x = 41,567,469.96/9,492.90
  6. Step 6: Final answer
    x = 4,378.80

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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.