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Finding the Fourth Proportional to 9,097.71, 12,550.78 and 5,558.82

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Solution

The fourth proportional to 9,097.71, 12,550.78 and 5,558.82 is: 7,668.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.71 : 12,550.78 = 5,558.82 : x
  2. Step 2: Convert to fraction form
    9,097.71/12,550.78 = 5,558.82/x
  3. Step 3: Cross multiply
    9,097.71x = 12,550.78 × 5,558.82
  4. Step 4: Simplify right side
    9,097.71x = 69,767,526.88
  5. Step 5: Solve for x
    x = 69,767,526.88/9,097.71
  6. Step 6: Final answer
    x = 7,668.69

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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.