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Finding the Fourth Proportional to 9,777.75, 13,504.44 and 6,628.47

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Solution

The fourth proportional to 9,777.75, 13,504.44 and 6,628.47 is: 9,154.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.75 : 13,504.44 = 6,628.47 : x
  2. Step 2: Convert to fraction form
    9,777.75/13,504.44 = 6,628.47/x
  3. Step 3: Cross multiply
    9,777.75x = 13,504.44 × 6,628.47
  4. Step 4: Simplify right side
    9,777.75x = 89,513,775.41
  5. Step 5: Solve for x
    x = 89,513,775.41/9,777.75
  6. Step 6: Final answer
    x = 9,154.84

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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.