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Finding the Fourth Proportional to 9,771.44, 13,484.76 and 5,580.08

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Solution

The fourth proportional to 9,771.44, 13,484.76 and 5,580.08 is: 7,700.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.44 : 13,484.76 = 5,580.08 : x
  2. Step 2: Convert to fraction form
    9,771.44/13,484.76 = 5,580.08/x
  3. Step 3: Cross multiply
    9,771.44x = 13,484.76 × 5,580.08
  4. Step 4: Simplify right side
    9,771.44x = 75,246,039.58
  5. Step 5: Solve for x
    x = 75,246,039.58/9,771.44
  6. Step 6: Final answer
    x = 7,700.61

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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.