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Finding the Fourth Proportional to 9,889.47, 14,803.25 and 5,492.79

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Solution

The fourth proportional to 9,889.47, 14,803.25 and 5,492.79 is: 8,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.47 : 14,803.25 = 5,492.79 : x
  2. Step 2: Convert to fraction form
    9,889.47/14,803.25 = 5,492.79/x
  3. Step 3: Cross multiply
    9,889.47x = 14,803.25 × 5,492.79
  4. Step 4: Simplify right side
    9,889.47x = 81,311,116.10
  5. Step 5: Solve for x
    x = 81,311,116.10/9,889.47
  6. Step 6: Final answer
    x = 8,221.99

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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.