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Finding the Fourth Proportional to 9,499.08, 14,254.02 and 5,116.44

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Solution

The fourth proportional to 9,499.08, 14,254.02 and 5,116.44 is: 7,677.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,499.08 : 14,254.02 = 5,116.44 : x
  2. Step 2: Convert to fraction form
    9,499.08/14,254.02 = 5,116.44/x
  3. Step 3: Cross multiply
    9,499.08x = 14,254.02 × 5,116.44
  4. Step 4: Simplify right side
    9,499.08x = 72,929,838.09
  5. Step 5: Solve for x
    x = 72,929,838.09/9,499.08
  6. Step 6: Final answer
    x = 7,677.57

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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.