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Finding the Fourth Proportional to 9,852.85, 13,611.75 and 6,457.92

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Solution

The fourth proportional to 9,852.85, 13,611.75 and 6,457.92 is: 8,921.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.85 : 13,611.75 = 6,457.92 : x
  2. Step 2: Convert to fraction form
    9,852.85/13,611.75 = 6,457.92/x
  3. Step 3: Cross multiply
    9,852.85x = 13,611.75 × 6,457.92
  4. Step 4: Simplify right side
    9,852.85x = 87,903,526.24
  5. Step 5: Solve for x
    x = 87,903,526.24/9,852.85
  6. Step 6: Final answer
    x = 8,921.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.