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Finding the Fourth Proportional to 9,777.88, 13,492.87 and 5,744.11

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Solution

The fourth proportional to 9,777.88, 13,492.87 and 5,744.11 is: 7,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.88 : 13,492.87 = 5,744.11 : x
  2. Step 2: Convert to fraction form
    9,777.88/13,492.87 = 5,744.11/x
  3. Step 3: Cross multiply
    9,777.88x = 13,492.87 × 5,744.11
  4. Step 4: Simplify right side
    9,777.88x = 77,504,529.50
  5. Step 5: Solve for x
    x = 77,504,529.50/9,777.88
  6. Step 6: Final answer
    x = 7,926.52

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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.