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Finding the Fourth Proportional to 9,777.21, 13,492.21 and 5,795.96

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Solution

The fourth proportional to 9,777.21, 13,492.21 and 5,795.96 is: 7,998.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.21 : 13,492.21 = 5,795.96 : x
  2. Step 2: Convert to fraction form
    9,777.21/13,492.21 = 5,795.96/x
  3. Step 3: Cross multiply
    9,777.21x = 13,492.21 × 5,795.96
  4. Step 4: Simplify right side
    9,777.21x = 78,200,242.01
  5. Step 5: Solve for x
    x = 78,200,242.01/9,777.21
  6. Step 6: Final answer
    x = 7,998.22

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1.5x scale

Why These Related Problems?

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