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Finding the Fourth Proportional to 9,771.84, 13,471.92 and 6,622.56

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Solution

The fourth proportional to 9,771.84, 13,471.92 and 6,622.56 is: 9,130.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.84 : 13,471.92 = 6,622.56 : x
  2. Step 2: Convert to fraction form
    9,771.84/13,471.92 = 6,622.56/x
  3. Step 3: Cross multiply
    9,771.84x = 13,471.92 × 6,622.56
  4. Step 4: Simplify right side
    9,771.84x = 89,218,598.52
  5. Step 5: Solve for x
    x = 89,218,598.52/9,771.84
  6. Step 6: Final answer
    x = 9,130.17

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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.