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Finding the Fourth Proportional to 9,723.40, 14,586.98 and 6,734.06

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Solution

The fourth proportional to 9,723.40, 14,586.98 and 6,734.06 is: 10,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.40 : 14,586.98 = 6,734.06 : x
  2. Step 2: Convert to fraction form
    9,723.40/14,586.98 = 6,734.06/x
  3. Step 3: Cross multiply
    9,723.40x = 14,586.98 × 6,734.06
  4. Step 4: Simplify right side
    9,723.40x = 98,229,598.54
  5. Step 5: Solve for x
    x = 98,229,598.54/9,723.40
  6. Step 6: Final answer
    x = 10,102.39

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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.