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Finding the Fourth Proportional to 6,492.06, 9,731.07 and 2,592.18

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Solution

The fourth proportional to 6,492.06, 9,731.07 and 2,592.18 is: 3,885.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,492.06 : 9,731.07 = 2,592.18 : x
  2. Step 2: Convert to fraction form
    6,492.06/9,731.07 = 2,592.18/x
  3. Step 3: Cross multiply
    6,492.06x = 9,731.07 × 2,592.18
  4. Step 4: Simplify right side
    6,492.06x = 25,224,685.03
  5. Step 5: Solve for x
    x = 25,224,685.03/6,492.06
  6. Step 6: Final answer
    x = 3,885.47

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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.